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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