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Question
Number of ways in which 6 men and 5 women can take dinner at a round table if no two women sit together is:
Number of ways in which 6 men and 5 women can take dinner at a round table if no two women sit together is:
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Solution
The correct option is C 6!5!
Number of women 5 Number of men 6 Number of ways of 6 men at a round Table is (n−1)!=(6−1)!=5! Now we left with six places between the men and there are 5 women these
5 women can be arranged themselves by 6P5 ways.∴ Required number of ways =5!×6P5=5!×6!
Number of women 5 Number of men 6 Number of ways of 6 men at a round Table is (n−1)!=(6−1)!=5! Now we left with six places between the men and there are 5 women these
5 women can be arranged themselves by 6P5 ways.
∴ Required number of ways =5!×6P5=5!×6!
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