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Question
7 women and 7 men are to sit round a circular table such that there is a man on either side of every women. The number of seating arrangements is:
7 women and 7 men are to sit round a circular table such that there is a man on either side of every women. The number of seating arrangements is:
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Solution
The correct option is B 6!7!
As there is to be a man on either side of a woman, first the woman are arranged and then men are placed in the seats between them.
no. of ways of placing 7 women in a circle is (n−1)!=(7−1)!=6!
no. of ways of placing 7 men in 7 places is 7!
∴Total no of ways=6!×7!
As there is to be a man on either side of a woman, first the woman are arranged and then men are placed in the seats between them.
no. of ways of placing 7 women in a circle is (n−1)!=(7−1)!=6!
no. of ways of placing 7 men in 7 places is 7!
∴Total no of ways=6!×7!
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