In a restaurant, 17 men and 7 women are seated on 24 chairs at a round table. Find the total number of possible ways such that 17 men are always sitting next to each other.
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no. of ways of placing 7 women in a circle is (n−1)!=(7−1)!=6!
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!
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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