Question

In how many ways can a football team of 11 players be selected from 16 players?

How many of them will

(i) include 2 particular players?

(ii) exclude 2 particular players?

Answer 1

Total number of players = 16

We have to select a team of 11 players

So, number of ways = 16C11

(i) If two particular players are included then more 9 players can be selected from remaining 14 players in 14C9

(ii) If two particular players are excluded then all 11 players can be selected from remaining 14 players in 14C11