Description : There are 10 persons who are to be seated around a circular table. Find the probability that two particular persons will always sit together. -Maths 9th
Last Answer : Total number of ways in which 10 person can sit around a circular table = 9! (∵ We shall keep one place fixed and the rest of the 9 places will be filled in (9 8 7 6 5 4 3 2 1) ways asthere is ... probability = \(rac{2 imes8!}{9!}\) = \(rac{2 imes8!}{9 imes8!}\) = \(rac{2}{9}.\)
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!
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.
Description : 6 boys and 6 girls are seated in a row. Probability that all the boys sit together is -Maths 9th
Last Answer : (d) \(rac{1}{132}\)Let S be the sample space for arranging 6 boys and 6 girls in a row. Then, n(S) = 12! If all 6 boys are to sit together, then consider the 6 boys as one entity. Now the ... ) = \(rac{7 imes6 imes5 imes4 imes3 imes2}{12 imes11 imes10 imes9 imes8 imes7}\) = \(rac{1}{132}\).
Description : Eighteen quests have to be seated, half on each side of a long table. Four particular guests desire to sit on one particular side and -Maths 9th
Last Answer : Since four particular guests want to sit on particular side and three others on the other side. So, we are left with 11 guests out of which we choose 5 for side A in ways and remaining 6 for ... of the table can be arranged among themselves in 9! Ways. Hence, the total number of arrangements =
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!
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.
Description : There are 6 numbered chairs placed around a circular table. 3 boys and 3 girls want to sit on them such that neither of two boys nor two girls -Maths 9th
Last Answer : Since the chairs are numbered, so they are distinguishable. Therefore 3 boys can be arranged on 3 alternate chairs in 3! ways. 3 girls can be arrenged in 3! ways Also, the girls can be seated before the boys. Total number of required ways = 3! × 3! + 3! × 3! = 2 × (3!)2
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
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
Description : Every appointment of district forum shall be made by the state govt on the recommendation of a selection committee consisting of the following a) President of the state commission shall be a chairman ... incharge of dept dealing with consumer affair shall be a another member. d) All the above
Last Answer : d) All the above
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.
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!
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.
Description : Who of the following attended all the Three Round Table Conferences? (SSC CGL 2nd Sit. 2011) (a) B.R. Ambedkar (b) M.M. Malavia (c) Vallabhbhai Patel (d) Gandhiji
Last Answer : (a) B.R. Ambedkar
Description : 6 boys and 6 girls are sitting in a row randomly. The probability that boys and girls sit alternately is -Maths 9th
Last Answer : (b) \(rac{1}{462}\)Let S be the sample space. Then, n(S) = Number of ways in which 6 boys and 6 girls can sit in a row = 12! Let E : Event of 6 girls and 6 boys sitting alternately. Then, the ... )= \(rac{2 imes6 imes5 imes4 imes3 imes2 imes1}{12 imes11 imes10 imes9 imes8 imes7}\) = \(rac{1}{462}\).
Description : There are 5 professors and 6 students out of whom a committee of 2 professors and 3 students is to be formed such that a -Maths 9th
Last Answer : answer:
Description : In how many way can a committee of 4 women and 5 men be chosen from 9 women and 7 men, if Mr. A refuse to serve on the committee if Ms. B is a member? -Maths 9th
Last Answer : First of all number of ways. Committees can be founded =6C3 5C2 Now, we remove committees with both A and B =4 5C2 again we need to remove committees with B and not C =5C2 4. Now we shall add the committees with A, ... −4 5C2 −5C2 4+4 4C2 =124. Hence, the answer is =124.
Description : What should a person on a freely rotating turn table do to decrease his (angular) speed? (1) Bring his hands together (2) Raise his hands up (3) Spread his hands outwards (4) Sit down with raised hands
Last Answer : (3) Spread his hands outwards Explanation: The answer is related to the conservation of angular momentum. The person on the rotating table will maintain approximately the same angular momentum during the spin. ... by reducing the distance of the mass of her arms and hands from the axis of rotation.
Description : What should a person on a freely rotating turn table do to decrease his (angular) speed ? (1) Bring his hands together (2) Raise his hands up (3) Spread his hands outwards (4) Sit down with raised hands
Last Answer : Spread his hands outwards
Description : What is the typical height of a bar table and how many people can be seated around them?
Last Answer : Bar tables are typically 40'"-42" in height, with the stools being around 28"-30". The amount of people that can be seated around them varies, but it is typically 3 or 4.
Description : Two ladies and two men are playing bridge and seated at North, East, South and West of a table. No lady is facing East. Persons sitting opposite to each other are not of the same sex. One man is facing South. ... facing to? (A) East and West (B) North and West (C) South and East (D) None of these
Last Answer : (B) North and West
Description : The current US Senate consists of 53 Republican members, 45 Democratic Members, and 2 Independent Members. How many ways can the committee of 8 Senators be formed, if the committee has 4 Republican and 4 Democratic members?
Last Answer : Answers is the place to go to get the answers you need and to ask the questions you want
Description : A committee is to be formed comprising 7 members such that there is a simple majority of men and at-least 1 woman. The shortlist consists of 9 men and 6 women. In how many ways can this committee be formed? a) 3724 b) 4914 c) 3928 d) 4913
Last Answer : b) 4914
Description : Out of 5 women and 4 men, a committee of three members is to be formed in such a way that at least one member is woman. In how many different ways can this be done? 1) 60 2) 100 3) 120 4) 90 5) 80
Last Answer : 5) 80
Description : In how many ways can teacher seat 5 girls and 3 boys in a row of 8 seats if a boy must be seated in the first seat and a girl in the last seat?
Last Answer : Feel Free to Answer
Description : In how many ways can 6 girls be seated in a rectangular order? A) 60 B) 120 C) 5040 D) 720
Last Answer : Answer: B) Number of arrangements possible = (6-1)! = 5! = 5×4×3×2×1 = 120
Description : Who were made the members of the Committee of Publicity ? Choose the answer from codes given below : (i) Representatives from different political parties. (ii) Representatives from the leftist parties. (iii) Representatives from the women's ... (iii) (B) (i), (ii) (C) (i), (ii), (iii) (D) (iv)
Last Answer : Answer: A
Description : What are two Cabinet-level positions? Choose one: a. Secretary of Defense and Secretary of State b. Governor of New York and Governor of California c. First Lady and White House Spokesperson d. President of the Senate and Speaker of the House
Last Answer : Correct Answer: a. Secretary of Defense and Secretary of State
Description : Who signs bills to become laws? Choose one: a. The Chief Justice of the Supreme Court. b. The Vice President. c. The Secretary of State. d. The President.
Last Answer : Correct Answer: d. The President.
Description : Who is the Commander in Chief of the military? Choose one: a. The President. b. The Vice-President. c. The Secretary of Defense. d. The Attorney General.
Last Answer : Correct Answer: a. The President.
Description : Which of the statements are correct about a Central University? 1. Central University is established under an Act of Parliament. 2. The President of India acts as the visitor of the University. 3. The President has the power to nominate some ... 4 (B) 1, 3 and 4 (C) 1, 2 and 3 (D) 1, 2, 3 and 4
Last Answer : Answer: C
Last Answer : Chowdhury Golam Quddus was the secretary of Dhaka Caliphate Committee
Description : (i) The managing committee appoints the secretary of the Non-profit association.
Last Answer : State whether the following statements are True or False : (i) The managing committee appoints ... has been introduced in the Companies Act, 2013.
Description : A good teacher’s priority in his school shall be his Options: A) Principal B) Secretary of the Managing Committee C) Colleagues D) Students
Last Answer : D) Students
Description : Who is Paul A. Volcker ? (1) Coauthor of the book Mitrokhin Archives II (2) Under-Secretary General of UN (3) Chairman of the Committee appointed by the UN to investigate the ‘oil-for-food’ programme (4) US Administrator in Iraq
Last Answer : Chairman of the Committee appointed by the UN to investigate the ‘oil-for-food’ programme
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
Description : A square has its side equal to the radius of the sphere. The square revolves round a side to generate a surface of total area S. -Maths 9th
Description : A hemispherical bowl is 176 cm round the brim. Supposing it to be half full, how many persons may be served from it in hemispherical -Maths 9th
Last Answer : Let the radius of the hemispherical bowl be r cm Then, 2πr=176⇒r=176×72×22⇒r=282πr=176⇒r=176×72×22⇒r=28 Volume of liquid in the bowl : =12×( ... : =Volume of liquid in the bowlVolume of 1 glass=(14×28×282×2×2)= 1372
Description : Sourya committee had proposed the establishment of sourya institutes of Technology (SITs) in line with Indian Institutes of Technology (IITs) to cater to the technological and industrial needs of a developing country Which of the ... (iv) only (C) (ii) and (iv) only (D) (ii) and (iii) only
Last Answer : Correct option is (C). Option (i) and (iii) state phrases like ‘in the initial years’ and ‘SIT like institutions can only be established in consultation with IIT’ cannot be logically inferred so (ii) and (iv) are the best inferences i.e. option (C)
Description : The number of members of society A who participated -Maths 9th
Last Answer : The number of participants from society A and C is equal. Things which are double of the same thing are equal to one another. Social service, helpfulness, cooperation, environmental concern.
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!
Description : A small indoor greenhouse (herbarium) is made entirely of glass panes (including base) held together with tape. It is 30cm long, 25 cm wide and 25 cm high. -Maths 9th
Last Answer : Length of greenhouse, say l = 30cm Breadth of greenhouse, say b = 25 cm Height of greenhouse, say h = 25 cm (i) Total surface area of greenhouse = Area of the glass = 2[lb+lh+bh] = [2(30 ... (30+25+25)] (after substituting the values) = 320 Therefore, 320 cm tape is required for all the 12 edges.
Description : The letters of the word ‘SOCIETY’ are placed at random in a row. What is the probability that three vowels come together ? -Maths 9th
Last Answer : There are 7 letters in the word SOCIETY. ∴ Total number of ways of arranging all the 7 letters = n(S) = 7!. When the case of three vowels being together is taken, then the three vowels are considered as one unit, so the ... = 5! 3! ∴ Required probability = \(rac{5! imes3!}{7!}\) = \(rac{1}{7}\)
Description : The probability that in the random arrangement of the letters of the word ‘UNIVERSITY’the two I‘s do not come together is -Maths 9th
Last Answer : (b) \(rac{4}{5}\)Let S be the sample space. Then, n(S) = Total number of waysin which the letters of the word UNIVERSITY' can be arranged = \(rac{10!}{2!}\) (∵ There are 2I s) ... ! imes36}{rac{10!}{2!}}\) = \(rac{ ot8! imes36 imes2!}{10 imes9 imes ot8!}\) = \(rac{4}{5}\).
Description : How many words can be formed from the letters of the word “DAUGHTER” so that the vowels always come together? -Maths 9th
Last Answer : The number of words formed from 'DAUGHTER' such that all vowels are together is 4320.
Description : Find how many arrangements can be made with the letters of the word “MATHEMATICS” in which the vowels occur together? -Maths 9th
Last Answer : (i) There are 11 letters in the word 'MATHEMATICS' . Out of these letters M occurs twice, A occurs twice, T occurs twice and the rest are all different. Hence, the total number of arrangements of ... 4!2!=12. Hence, the number of arrangement in which 4 vowels are together =(10080×12)=120960.
Description : How many words can be formed from the letters of the word “SUNDAY” so that the vowels never come together? -Maths 9th
Last Answer : Given: The word ‘SUNDAY’ Total number of letters in the word ‘SUNDAY’ is 6. So, number of arrangements of 6 things, taken all at a time is 6P6 = 6! = 6 ... of words using letters of ‘SUNDAY’ starting with ‘N’ and ending with ‘Y’ is 24
Description : If all the L‘s occur together and also all I‘s occur together, when the letters of the word ‘HALLUCINATION’ are permuted, -Maths 9th