7 relatives of a man comprise 4 ladies and 3 gentlemen; his wife also has 7 relatives; 3 of them are ladies and 4 gentlemen. In how many ways -Maths 9th

7 relatives of a man comprise 4 ladies and 3 gentlemen; his wife also has 7 relatives; 3 of them are ladies and 4 gentlemen. In how many ways -Maths 9th
by

1 Answer

Answer :

The possible cases are: Case I : A man invites (3 ladies) and woman invites (3 gentlemen) 4 ​ C 3 ​ 4 ​ C 3 ​ =16 Case II : A man invites (2 ladies,1 gentleman) and woman invites (2 gentleman, 1 lady) ( 4 ​ C 2 ​ 3 ​ C 1 ​ )( 3 ​ C 1 ​ 4 ​ C 2 ​ )=324 Case III : A man invites (1 lady, 2 gentlemen) and woman invites (2 ladies, 1 gentleman) ⇒( 4 ​ C 1 ​ 3 ​ C 2 ​ )( 3 ​ C 2 ​ 4 ​ C 1 ​ )=144 Case IV : A man invites (3 gentlemen) and woman invites (3 ladies) 3 ​ C 3 ​ 3 ​ C 3 ​ =1 Total number of ways =16+324+144+1=485
by

Related questions

In how many ways can 6 gentlemen and 3 ladies be seated round a table so that every gentleman may have a lady by his side? -Maths 9th

Description : In how many ways can 6 gentlemen and 3 ladies be seated round a table so that every gentleman may have a lady by his side? -Maths 9th

Last Answer : If each gentleman has to have a lady by his side, the seating arrangement can be done as shown below: This can be done in 5! (Gentlemen) × 3! (Ladies) = 720 ways.

Gentlemen, in your honest opinion, what is the measure of a man? Ladies, in your honest opinion, what is the measure of a woman?

Description : Gentlemen, in your honest opinion, what is the measure of a man? Ladies, in your honest opinion, what is the measure of a woman?

Last Answer : It has to be the way they dress. Did I get it right?

A man left an inheritance of $10,000 to three relatives and their wives. Together the wives received $3960. Janine received $100 more than Cathy, and Maria received $100 more than Janine. Joe received the same amount as his wife, Hary got half as much again as his wife, and Tom received twice as much as his wife. How much did each receive? -Riddles

Description : A man left an inheritance of $10,000 to three relatives and their wives. Together the wives received $3960. Janine received $100 more than Cathy, and Maria received $100 more than Janine. Joe received the ... his wife, and Tom received twice as much as his wife. How much did each receive? -Riddles

Last Answer : Carthy, Janine and Maria received $1220, $1320, and $1420 respectively. Joe received the same as his wife Carol, $1220. Hary received half again what his wife Janine did, $1980. Tommy got twice as much as his wife Maria, $2840.

A committee of 5 persons is to be formed out of 6 gents and 4 ladies. In how many ways can this be done if at most two ladies are included? -Maths 9th

Description : A committee of 5 persons is to be formed out of 6 gents and 4 ladies. In how many ways can this be done if at most two ladies are included? -Maths 9th

Last Answer : hope its clear

In how many ways can a mixed doubles game be arranged from amongst 8 married couples if no husband and wife play in the same game? -Maths 9th

Description : In how many ways can a mixed doubles game be arranged from amongst 8 married couples if no husband and wife play in the same game? -Maths 9th

Last Answer : For mixed doubles, we have 2 men and 2 women. 2 men out of 9 can be selected in 9C8 ways Out of 9 women, 2 will be there wife 30 only 7 are remaining for selecting 2 Now out of them 2 possible combinations can be made. So, ... =3024 Hence the answer is 3024.

Besides epilepsy and seizures have any of you ladies and gentlemen ever got an EEG?

Description : Besides epilepsy and seizures have any of you ladies and gentlemen ever got an EEG?

Last Answer : answer:I did a sleep study and my brain waves were all hooked up and measured. Why do you call it extreme? Because you think it is unlikely to show anything? Did he do an MRI already? I assume ... from a thyroid problem. The ranges have been argued for years. Did they check your TSH, T4free and T3?

Is this dress suitable for a ladies evening formal & gentlemen black tie / formal dinner?

Description : Is this dress suitable for a ladies evening formal & gentlemen black tie / formal dinner?

Last Answer : I doubt it. It would be fine for a nice luncheon , though or dinner at most restaurants.

Ladies and gentlemen what can I get you for Xmas - material object or not?

Description : Ladies and gentlemen what can I get you for Xmas - material object or not?

Last Answer : I’ll take this please ;)

Ladies and Gentlemen what is your option on shaving body hair once in a committed relationship?

Description : Ladies and Gentlemen what is your option on shaving body hair once in a committed relationship?

Last Answer : answer:For me, when I was single I was the same as I am now that I'm married. I keep my underarms shaved, shave my legs about once a week when my husband is home and in the summer (that's all I ... , he will take a break from shaving. I like him with and without facial hair, so I'm happy either way.

And now for something completely different: Ladies and Gentlemen?

Description : And now for something completely different: Ladies and Gentlemen?

Last Answer : I wish people still wore fancy hats.

Ladies and gentlemen - How important are good manners when it comes to career opportunities?

Description : Ladies and gentlemen - How important are good manners when it comes to career opportunities?

Last Answer : Vital. Does anyone doubt this?

Four friends have 7 shirts, 6 pants and 8 ties. In how many ways can they wear them? -Maths 9th

Description : Four friends have 7 shirts, 6 pants and 8 ties. In how many ways can they wear them? -Maths 9th

Last Answer : 7 shirts can be worn by 4 friends in 7P4 ways. Similarly, 6 pants and 8 ties can be worn by 4 friends in 6P4 and 8P4 ways respectively. ∴ Total number of ways in which 7 shirts, 6 pants and 8 ties can be worn by 4 friends = 7P4 × 6P4 × 8P4 = 7! 3!

A man has 6 friends. Number of different ways, he can invite 2 or more for dinner is -Maths 9th

Description : A man has 6 friends. Number of different ways, he can invite 2 or more for dinner is -Maths 9th

Last Answer : He can invite one or more friends by inviting 1 friend, or 2 friends or 3 friends, or all the 6 friends.

A husband and a wife appear in an interview for two vacancies in the same post. The probability of husband‘s -Maths 9th

Description : A husband and a wife appear in an interview for two vacancies in the same post. The probability of husband‘s -Maths 9th

Last Answer : Let A : Event of husband being selected B : Event of wife being selectedThen P(A) = \(rac{1}{7},\) P(B) = \(rac{1}{5}\)P(\(\bar{A}\)) = 1 - \(rac{1}{7}\) = \(rac{6}{7}\), P(\(\bar{B}\)) = 1 - ... {24}{35}\)(iv) P(at least one selected) = 1 - P(none selected) = 1 - \(rac{24}{35}\) = \(rac{11}{35}\)

In how many ways can 7 men and 7 women sit on a round table such that no two women sit together? -Maths 9th

Description : In how many ways can 7 men and 7 women sit on a round table such that no two women sit together? -Maths 9th

Last Answer : Now there are 7 places vacant between these 7 men. ∴ 7 women can seat themselves in these 7 places in 7 ! ways. ∴ Total number of required arrangement where no two women sit together = 6!

Gentlemen: what makes you "feel like a man"?

Description : Gentlemen: what makes you "feel like a man"?

Last Answer : I think for, @bob, it’s his giant kielbasa and two meat balls (for that sammich!)

Gentlemen, admit it, you've had a man crush before or do right now. Who is he and why?

Description : Gentlemen, admit it, you've had a man crush before or do right now. Who is he and why?

Last Answer : I want to be Steve Mcqueen or Clint Eastwood, cool as fuck! Elvis was a good looking guy, til he exploded on the john that is :¬)

In how many ways can a team of 11 players be selected from 14 players when two of them play as goalkeepers only? -Maths 9th

Description : In how many ways can a team of 11 players be selected from 14 players when two of them play as goalkeepers only? -Maths 9th

Last Answer : As each team of 11 players has one goalkeeper and 10 team members, and out of 14 players there are 2 goalkeepers and 12 team members. = 12×112×2 = 132.

In how many ways can a pack of 52 cards be divided into 4 sets, three of them having 16 cards each and the fourth just 4 cards? -Maths 9th

Description : In how many ways can a pack of 52 cards be divided into 4 sets, three of them having 16 cards each and the fourth just 4 cards? -Maths 9th

Last Answer : First we divide 52 cards into two sets which contains 1 and 51 cards respectively is 1! 51! 52! Now 51 cards can be divided equally in three sets each contains 17 cards (Here order of sets is not important) in 3!(17!) ... ways Hence, the required number of ways = 1! 51! 52! 3! (17!) 3 51!

A boat covers 14 kms in upstream and 20 kms downstream in 7 hours. Also it covers 22 kms upstream and 34 kms downstream in 10 hours. Find the speed of the boat in still water and of that the stream. -Maths 9th

Description : A boat covers 14 kms in upstream and 20 kms downstream in 7 hours. Also it covers 22 kms upstream and 34 kms downstream in 10 hours. Find the speed of the boat in still water and of that the stream. -Maths 9th

Last Answer : Given, The boat covers 14 km upstream and 20km downstream . at time 7 hours also cover 22km ups. and 34km dwn in10 hours total speed = total distance/total time :.total distance = 14+20+22+34=90km and total time=7+10= ... =90/17 => 5.294km/h => 5.294km/h the speed of boat in still water is 5.29 km/h

Sohan wants to show gratitude towards his teacher by giving her a card made by him. He has three pieces of trapezium pasted one above the other as shown in fig. These pieces are arranged in a way that AB||HC || GD || FE. Also BC=CD=DE, and GF=6 cm... -Maths 9th

Description : Sohan wants to show gratitude towards his teacher by giving her a card made by him. He has three pieces of trapezium pasted one above the other as shown in fig. These pieces are arranged in a way that AB||HC || GD || FE. Also BC=CD=DE, and GF=6 cm... -Maths 9th

Last Answer : Given : Sohan wants to show gratitude towards his teacher by giving her a card made by him. He has three pieces of trapezium pasted one above the other as shown in the fig. These pieces are arranged ... length of coloured tape required = 30 cm (b) The values are : Happiness, beauty, Knowledge.

In the linear equation y = 4x + 13, if x is the number of hours a labourer is on work and y are his wages in rupees then draw the graph. Also find the wages when work is done for 6 hours. -Maths 9th

Description : In the linear equation y = 4x + 13, if x is the number of hours a labourer is on work and y are his wages in rupees then draw the graph. Also find the wages when work is done for 6 hours. -Maths 9th

Last Answer : when the work is done for 6 hours x=6 y=4(6)+13 y=24+13 y=37 the labourer gets Rs.37 if he works for 6hrs

Sohan wants to show gratitude towards his teacher by giving her a card made by him. He has three pieces of trapezium pasted one above the other as shown in fig. These pieces are arranged in a way that AB||HC || GD || FE. Also BC=CD=DE, and GF=6 cm. He wants to decorate the card by putting up a colored tape on the non-parallel sides of the trapezium.. -Maths 9th

Description : Sohan wants to show gratitude towards his teacher by giving her a card made by him. He has three pieces of trapezium pasted one above the other as shown in fig. These pieces are arranged in a way that ... the card by putting up a colored tape on the non-parallel sides of the trapezium.. -Maths 9th

Last Answer : Let us consider the following lay out of the greeting card. Trapeziums are arranged in such a way that AB || HC || GD || FE. Also BC=CD=DE and GF=6 cm and DE = 4cm. If three parallel lines make equal ... HG+GF+BC+CD+DE = 6+6+6+4+4+4=30 cm. (b) The values are: Happiness, beauty, Knowledge.

Raja Dahir’s wife burnt herself along with other ladies, on being found herself encircled. Her name was: A. Rani Bai B. Agni C. Rani of Jhansi D. Ratni

Description : Raja Dahir’s wife burnt herself along with other ladies, on being found herself encircled. Her name was: A. Rani Bai B. Agni C. Rani of Jhansi D. Ratni

Last Answer : ANSWER: A

Gentlemen: Television MILF's - who are your favorites and why do you think the networks pair them up with such seemingly undeserving SO's as compared to ourselves :)

Description : Gentlemen: Television MILF's - who are your favorites and why do you think the networks pair them up with such seemingly undeserving SO's as compared to ourselves :)

Last Answer : It’s real. I am the biggest fucking dork in the world and am married to an amazing MILF.

The software ................. of a program or a computing system is the structure or structures of the system, which comprise software components, the externally visible properties of those components, and the relationships among them. (A) Design (B) Architecture (C) Process (D) Requirement

Description : The software ................. of a program or a computing system is the structure or structures of the system, which comprise software components, the externally visible properties of those components, and the relationships among them. (A) Design (B) Architecture (C) Process (D) Requirement

Last Answer : (B) Architecture

A person invites 15 guests for dinner and wishes to arrange them at two round tables that can accommodate 8 persons and 7 persons respectively. -Maths 9th

Description : A person invites 15 guests for dinner and wishes to arrange them at two round tables that can accommodate 8 persons and 7 persons respectively. -Maths 9th

Last Answer : answer:

7 persons enter an elevator on the ground floor of a 11 storey hotel. Any one of them can leave the elevator at any of the 10 floors. -Maths 9th

Description : 7 persons enter an elevator on the ground floor of a 11 storey hotel. Any one of them can leave the elevator at any of the 10 floors. -Maths 9th

Last Answer : answer:

A man and his wife were slowly driving along when their teenage son, who had just recently received his driver's license, suddenly drove his car up behind them and started to repeatedly smash into the back of their car, while his sister, who was in the car with him, loudly cheered and egged on her brother. Witnesses to the event appeared unaffected by the incident, and in fact some were even observed smiling. The police were never called. What was going on with this family, and why did no one call the police? -Riddles

Description : A man and his wife were slowly driving along when their teenage son, who had just recently received his driver's license, suddenly drove his car up behind them and started to repeatedly smash into the back ... called. What was going on with this family, and why did no one call the police? -Riddles

Last Answer : The man and his wife had taken their two children to an amusement park. The parents were in one bumper car, and their two children were in another bumper car.

There are 5 boys and 3 girls. In how many ways can they stand in a row so that no two girls are together? -Maths 9th

Description : There are 5 boys and 3 girls. In how many ways can they stand in a row so that no two girls are together? -Maths 9th

Last Answer : Have the 55 boys stand in a line. This can be done in 5!5! ways. For the moment, add a boy at each end, who will be removed when we're done. Now send the 33 girls, one at a time, to ... that each girl can either wedge herself between two boys or else stand next to a boy at one end or the other.

In how many ways can the letters of the word “AFLATOON” be arranged if the consonants and vowels must occupy alternate places? -Maths 9th

Description : In how many ways can the letters of the word “AFLATOON” be arranged if the consonants and vowels must occupy alternate places? -Maths 9th

Last Answer : 24 ways is the answer

In how many ways can 8 people sit around a circular Table? (a) 5040 (b) 40320 (c) 20160 (d) 2520 -Maths 9th

Description : In how many ways can 8 people sit around a circular Table? (a) 5040 (b) 40320 (c) 20160 (d) 2520 -Maths 9th

Last Answer : As is known in case of circular permutations, we keep one place fixed, so 8 people can sit around a circular table in (8 – 1) ! ways = 7! ways = 5040 ways.

A committee of 11 members sit at a round table. In how many ways can they be seated if the “President” and the “Secretary” choose to sit together. -Maths 9th

Description : A committee of 11 members sit at a round table. In how many ways can they be seated if the “President” and the “Secretary” choose to sit together. -Maths 9th

Last Answer : ∴ Required number of ways of seating = 9!

Find the number of ways in which 10 different flowers can be strung to form a garland so that three particular flowers are always together -Maths 9th

Description : Find the number of ways in which 10 different flowers can be strung to form a garland so that three particular flowers are always together -Maths 9th

Last Answer : Consider the three particular flowers as one flower. Then we have (10 – 3) + 1 = 8 flowers which can be strung in the garland. Thus the garland can be formed in (8 – 1)!, i.e., 7! ways But the 3 particular flowers can be arranged amongst themselves in 3!

In how many ways can a committee of five persons be formed out of 8 members when a particular member is taken every time? -Maths 9th

Description : In how many ways can a committee of five persons be formed out of 8 members when a particular member is taken every time? -Maths 9th

Last Answer : ∴Required number of ways = 7C4 = 7!

Out of 5 men and 2 women, a committee of 3 is to be formed. In how many ways can it be formed if at least one woman is to be included? -Maths 9th

Description : Out of 5 men and 2 women, a committee of 3 is to be formed. In how many ways can it be formed if at least one woman is to be included? -Maths 9th

Last Answer : Number of selections = Number of ways of selecting 2 men out of 5 men x number of ways of selecting l woman out of 3 women. = 5C2×3C1=5×41×2×3=30

In how many ways can a pack of 52 cards be divided equally among four players in order? -Maths 9th

Description : In how many ways can a pack of 52 cards be divided equally among four players in order? -Maths 9th

Last Answer : Distribution of 52 cards can be equally divided among four players. Hence, number of ways is (13!)4! 52! ​ 4!= (13!) 52! ​

A box contains 5 different red and 6 different white balls. In how many ways can 6 balls be selected so that there are at least -Maths 9th

Description : A box contains 5 different red and 6 different white balls. In how many ways can 6 balls be selected so that there are at least -Maths 9th

Last Answer : The selection of 6 balls, consisting of at least two balls of each color from 5 red and 6 white balls can be made in the following ways: Red balls (5) White balls(6) Number of ways 2 4 5 C 2 ​ × 6 C 4 ​ =150 3 3 5 C 3 ​ × 6 C 3 ​ =200 4 2 5 C 4 ​ × 6 C 2 ​ =75 Total 425

Five balls of different colours are to be placed in three boxes of different sizes. Each box can hold all five. In how many different ways -Maths 9th

Description : Five balls of different colours are to be placed in three boxes of different sizes. Each box can hold all five. In how many different ways -Maths 9th

Last Answer : According to the question, we have 5 balls to be placed in 3 boxes where no box remains emptyHence, we can have the following kinds of distribution firstly, where the distribution will be (3,1,1) that is, one box gets three ... go in second box is = 4 C 2 . Total no. of ways =90 Total:60+90=150.

Ladies, can you tell if a man has been dressed by his S.O.?

Description : Ladies, can you tell if a man has been dressed by his S.O.?

Last Answer : No.

What are the best scents a man can wear for his woman, or da ladies (only if he's single)?

Description : What are the best scents a man can wear for his woman, or da ladies (only if he's single)?

Last Answer : I hate colognes and fragrances. You’re better off with no scent. I’m actually more likely to avoid you if you have a smell. Any smell.

Diagonal AC of a parallelogram ABCD bisects ∠A (see Fig. 8.19). Show that (i) it bisects ∠C also, (ii) ABCD is a rhombus. -Maths 9th

Description : Diagonal AC of a parallelogram ABCD bisects ∠A (see Fig. 8.19). Show that (i) it bisects ∠C also, (ii) ABCD is a rhombus. -Maths 9th

Last Answer : . Solution: (i) In ΔADC and ΔCBA, AD = CB (Opposite sides of a parallelogram) DC = BA (Opposite sides of a parallelogram) AC = CA (Common Side) , ΔADC ≅ ΔCBA [SSS congruency] Thus, ∠ACD = ∠CAB by ... are equal) Also, AB = BC = CD = DA (Opposite sides of a parallelogram) Thus, ABCD is a rhombus.

The point (2,3) lies on the graph of the linear equation 3x - (a -1)y =2a -1. If the same point also lies on the graph of the linear equation 5x + (1-2a)y = 3b, then find the value of b. -Maths 9th

Description : The point (2,3) lies on the graph of the linear equation 3x - (a -1)y =2a -1. If the same point also lies on the graph of the linear equation 5x + (1-2a)y = 3b, then find the value of b. -Maths 9th

Last Answer : Given, point (2,3) lies on the line. So, the point (2, 3) is the solution of 3x - (a -1) y = 2a - 1 On putting x = 2 and y = 3 in given solution. ∴ 3 2 - (a-1) 3 = 2a - 1 ⇒ 6 - 3a + 3 = 2a - 1 ⇒ - 3a ... 2 2) 3 = 3b ⇒ 10 - 9 = 3b ⇒ 1 = 3b ⇒ 1 / 3 = b Hence, the value of b is 1 / 3.

Obtain the mean of the following distribution and also find the mode. -Maths 9th

Description : Obtain the mean of the following distribution and also find the mode. -Maths 9th

Last Answer : fixi/fi 270/55 Mean=4.9

In a school marks obtained by 80 students are given in the table. Draw a histogram. Also, make frequency polygon. -Maths 9th

Description : In a school marks obtained by 80 students are given in the table. Draw a histogram. Also, make frequency polygon. -Maths 9th

Last Answer : Here, class size = 135 - 305 = 10 ∴ Lower limit of first class interval is 305 - 10 / 2 = 300 Upper limit of first class interval is 305 + 10 / 2 = 310 Thus, first class interval is 300 - 310 Required histogram and frequency polygon is given on the graph paper .

Find the value of the polynomial 3x3 – 4x2 + 7x – 5, when x = 3 and also when x = -3. -Maths 9th

Description : Find the value of the polynomial 3x3 – 4x2 + 7x – 5, when x = 3 and also when x = -3. -Maths 9th

Last Answer : Let p(x) =3x3 – 4x2 + 7x – 5 At x= 3, p(3) = 3(3)3 – 4(3)2 + 7(3) – 5 = 3×27-4×9 + 21-5 = 81-36+21-5 P( 3) =61 At x = -3, p(-3)= 3(-3)3 – 4(-3)2 + 7(-3)- 5 = 3(-27)-4×9-21-5 = -81-36-21-5 = -143 p(-3) = -143 Hence, the value of the given polynomial at x = 3 and x = -3 are 61 and -143, respectively.

Show that p-1 is a factor of p10 -1 and also of p11 -1. -Maths 9th

Description : Show that p-1 is a factor of p10 -1 and also of p11 -1. -Maths 9th

Last Answer : Let g (p) = p10 -1 and h(p) = p11 -1. On putting p=1 in Eq. (i), we get g(1)=110-1= 1-1=0 Hence, p-1 is a factor of g(p). Again, putting p = 1 in Eq. (ii), we get h (1) = (1)11 -1 = 1 -1 = 0 Hence, p -1 is a factor of h(p).

Show that the quadrilateral formed by joining the consecutive sides of a square is also a square. -Maths 9th

Description : Show that the quadrilateral formed by joining the consecutive sides of a square is also a square. -Maths 9th

Last Answer : According to question quadrilateral formed by joining the consecutive sides of a square is also a square.

If a pair of opposite sides of a cyclic quadrilateral are equal, then prove that its diagonals are also equal. -Maths 9th

Description : If a pair of opposite sides of a cyclic quadrilateral are equal, then prove that its diagonals are also equal. -Maths 9th

Last Answer : Given Let ABCD be a cyclic quadrilateral and AD = BC. Join AC and BD. To prove AC = BD Proof In ΔAOD and ΔBOC, ∠OAD = ∠OBC and ∠ODA = ∠OCB [since, same segments subtends equal angle to the circle] AB = BC [ ... is DOC on both sides, we get ΔAOD+ ΔDOC ≅ ΔBOC + ΔDOC ⇒ ΔADC ≅ ΔBCD AC = BD [by CPCT]

The point (2,3) lies on the graph of the linear equation 3x - (a -1)y =2a -1. If the same point also lies on the graph of the linear equation 5x + (1-2a)y = 3b, then find the value of b. -Maths 9th

Description : The point (2,3) lies on the graph of the linear equation 3x - (a -1)y =2a -1. If the same point also lies on the graph of the linear equation 5x + (1-2a)y = 3b, then find the value of b. -Maths 9th

Last Answer : Given, point (2,3) lies on the line. So, the point (2, 3) is the solution of 3x - (a -1) y = 2a - 1 On putting x = 2 and y = 3 in given solution. ∴ 3 2 - (a-1) 3 = 2a - 1 ⇒ 6 - 3a + 3 = 2a - 1 ⇒ - 3a ... 2 2) 3 = 3b ⇒ 10 - 9 = 3b ⇒ 1 = 3b ⇒ 1 / 3 = b Hence, the value of b is 1 / 3.