Question

A committee of $15$ members sit around a table . In how many ways can they be seated if the president and vice president sit together ?

Answer 1

Consider president and vice president as one member .Their arrangement in their own group = $2!$

So total members = $14$

Arrangement of 14 members around a table = $13!$

Total no. of ways in which committee of 15 memberbs can sit around a table = $13!\times 2!$