Question

How many ways 15 members of a committee can sit around the round table whereas secretary sit on one side and vice secretary on other side of director?

Answer 1

Total number of members 15

Here, the position of secretary, vice secretary and director are fixed but there is no condition of clockwise and anti clockwise

Hence, total number of sitting ways according to condition = 2 !

Now, we can change the position of 12 members only.

Hence, total number sitting ways of 12 members = 12!

Hence, total number of ways 15 members sit according to given condition.

= 12! × 2!