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The number of ways in which 6 men and 5 ...

The number of ways in which 6 men and 5 women can dine at a round table if no two women are to sit together is given by.

A

`7!xx5!`

B

`6!xx5!`

C

30

D

50

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The correct Answer is:
B
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The number of ways in which m men and n women can be seated in a row, so that no two women sit together is (i) (m!(m+1)!)/((m+n-1)!) (ii) (m!(m+1)!)/((m-n+1)!) (iii) (n!(m+1)!)/((m-n+1)!) (iv) (m!(n+1)!)/((m+n-1)!)

The number of ways of arranging 8 men and 5 women around a circular table such that no two women can sit together is

Number iof ways in which m men and n women can be arranged in a rwo so that no two women are together is m!^(m=1)P_n Also number oif ways in which m men and n women can be seated in a row so that all the n women are together is (m=1)!n! On the basis of above informatiion answer the following question: Therre are 10 intermediate stations between two places P and Q. the number of ways in 10 boys &5 girls can be seated in a row so that no boy sits between girls

Number iof ways in which m men and n women can be arranged in a rwo so that no two women are together is m!^(m=1)P_n Also number oif ways in which m men and n women can be seated in a row so that all the n women are together is (m=1)!n! On the basis of above informatiion answer the following question the no of ways in which 10 boys & 5 girls: seated in row so that no boy sits between girls

Number iof ways in which m men and n women can be arranged in a rwo so that no two women are together is m!^(m=1)P_n Also number oif ways in which m men and n women can be seated in a row so that all the n women are together is (m=1)!n! On the basis of above informatiion answer the following question: Number of ways in which 10 boys and 5 girls can be seated in a row so that no boy sits between girls is (A) 5!xx10_P_5 (B) 5!xx11_P_5 (C) 10!xx11_P_5 (D) 5!xx11

OBJECTIVE RD SHARMA ENGLISH-PERMUTATIONS AND COMBINATIONS-Chapter Test
  1. We are required to form different words with the help of the letters o...

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  2. A candidate is required to answer 6 out of 10 questions, which are ...

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  3. The number of ways in which 6 men and 5 women can dine at a round tabl...

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  4. A students is to answer 10 out of 13 questions in an examminations suc...

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  5. Write the number of all possible words that can be formed using the ...

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  6. In a group of boys, two boys are brothers and six more boys are pres...

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  7. Nishi has 5 coins, each of the different denomination. Find the number...

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  8. Write the number of ways in which 5 boys and 3 girls can be seated in ...

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  9. How many different nine-digit numbers can be formed from the digits of...

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  10. The number of 4 digit even numbers that can be formed using 0, 1, 2, 3...

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  11. The number of ways in which n ties can be selected from a rack display...

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  12. There are n-points (ngt2) in each to two parallel lines. Every point o...

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  13. The maximum number of points of intersection of 8 circles is

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  14. The maximum number of points of intersection into which 4 circles and ...

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  15. In a circket charmpionship there are 36 matches. The number of teams i...

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  16. For 4 le r le n, ((n),(r))+4((n),(r+1))+6((n),(r+2))+4((n),(r+3))+((...

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  17. The total number of numbers greater than 100 and divisible by 5, that ...

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  18. Find the number of words that can be made out of the letters of the ...

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  19. Number of numbers greater than 24000 can be formed by using digits 1,2...

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  20. Write the number of words that can be formed out of the letters of the...

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