Q. 23.7( 7 Votes )

# There are 5 men and 5 ladies to dine at a round table. In how many ways can they sit so that no ladies are together?

Answer :

Let first arranged 5 men in the round table by 4! (by using the formula (n-1)! Mention above)

Now there are 5 gaps created between 5 men (check the figure)

So we arrange 5 ladies in this gap by 5!

A total number of ways to arrange 5 men and 5 ladies is 5! × 4! = 2880

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Which of the following are true :

(2 + 3)! = 2! + 3!

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