Question

A committee of $15$ members sits around a table. In how many ways can they be seated if the "President" and "Vice-President: sit together?

Answer 1

let us consider president and vice president

as one member. They two can be seated

in 2 ways.

And, the rest of the member can be seated

in 13! ways

so Total No of way in which $=2\times 13!$