Question

In how many ways can a team of 11 can be chosen from 14 cricket players if two of them can only be wicket keepers

Answer 1

In a cricket team, we can not choose 2 wicket keepers
so, one have to remove while selecting 11 players
now, 11 players are chosen among 13.
Number of possible arrangement will be 13C11 ( combination of 13 player taken 11 at a time )
=(13×12)/2
=78 ways
Now, taking the removed wicket keeper in team, number of ways will be 78 ways
 so, total ways = 156 ways

Answer 2

in a cricket team two wicket keepers will not be taken so that in 156 ways