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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.^{16}C_{11}
B.^{16}C_{5}
C.^{16}C_{9}
D.^{20}C_{9}

Answers (1)

The answer is the option (c).

We have to select 11 players out of 22.

After excluding particular 4 of them, 18 are available. Amongst these 18, 2 particular players are always included. Thus, we have to select 9 more players from the remaining 16 players in ^{16}C_{9}  ways.

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