The number of ways in which a team of eleven players can be selected from
Question:

The number of ways in which a team of eleven players can be selected from 22 players always including 2 of them and excluding 4 of them, is

(a) 16C11

(b) 16C5

(c) 16C6

(d) 20C9

Solution:

Total number of players = 22

We need to select 11 players 

Given condition says, 

Exclude 4 particular player gives us 18 players available and including 2  particular players. 

Implies only 9 need to be selected out of remaining 16 .

Hence, number of ways of selection is 16C9.

Hence, the correct answer is option C.

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