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

1 Answer

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!

Related questions

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!

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 = \(rac{2 imes8!}{9!}\) = \(rac{2 imes8!}{9 imes8!}\) = \(rac{2}{9}.\)

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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

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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

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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

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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 : 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

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Description : 6 men and 10 women can finish making pots in 8 days, while the 4 men and 6 women can finish it in 12 days. Find the time taken by the one man alone from that of one woman alone to finish the work. -Maths 9th

Last Answer : Given: 6 men and 10 women can finish making pots in 8 days 4 men and 6 women can finish it in 12 days To find: Time taken by the one man alone from that of one woman alone to finish the work ... = 48Then time taken by the one man alone from that of one woman alone to finish the work is 48 days

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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

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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

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Description : Two men and two women, all carrying loaded shotguns, drove to a field where they planned to shoot as many birds as possible. The four had absolutely no desire to eat any of the birds they were ... who happened to witness the onslaught, gave the four a loud round of applause for the entert -Riddles

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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

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Description : The cost of a table is 100 more than half the cost of the chair write the statement linear equation in two varible -Maths 9th

Last Answer : This answer was deleted by our moderators...

Description : In figure, there is a histogram depicting daily wages of workers in d factory. Construct the frequency distribution table. -Maths 9th

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Description : The following table gives the pocket money (in Rs) given to children per day by their parents : Represent the data in the form of a histogram. -Maths 9th

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

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Last Answer : Here the marks are out of 50 , so we find its percentage (i.e. out of 100)

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