Question

A committee has fourteen fourteen members. There are two two members that currently serve as the​ board's chairman chairman and and vice vice chairman chairman. Each member is equally likely to serve in any of the positions. Two Two members are randomly selected and assigned to be the new chairman chairman and and vice vice chairman chairman. What is the probability of randomly selecting the two two members who currently hold the positions of chairman chairman and and vice vice chairman chairman and reassigning them to their current​ positions?

Answer 1

Here we have a pool of 14 members , out of which two are serving as Board's chairman and vice chairman.Now we have reassign these two posts from the pool of 14 members , which also consist the members who are serving currently at that position , Now we need to select 2 out of fourteen such as order matter because we want the reassign the 14 members in to two different post , so now here order matters so we will use permutation so selecting 2 out of 14 is given by