A debate team of 4 is to be chosen from a class of 29 where

A debate team of 4 is to be chosen from a class of 29 where the order in which the members of the team are chosen does not matter. There are two twin brothers in the class. How many possible ways can the team be formed which will not include any of the twin brothers?

Solution

Sol)

Total members = 29

Choose 4 members

excluding the twins means only 27 people are available.

So, C(27,4) is the number of teams possible.

Hence number of  possible ways can the team be formed which will not include any of the twin brothers =27C₄ =17550