A school debating team consisting of exactly four students i

A school debating team consisting of exactly four students is to be selected from amongst twelve eligible students. Jane and Mike are among the twelve eligible students.Find the number of ways in which the team can be selected

Either Jane or Mike in the team

Solution

So for the selection both Jane and Mike are in the team. The team consist of 4 students. But already we have 2 in the team Jane and Mike. So we need to select the rest two from the other 10 students.

Number ways for this `= ^10C_2 = 45`

So there are 45 ways to select debate group including Jane and Mike in the debate group.