Question

The number of ways in which a team of 11 players can be selected from 22 players 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)`

Answer 1

Correct Answer - C
Total number of players = 22
We have to select a team of 11 players. Selection of 11 players when 2 of them is always included and 4 are never included.
Total number of players = 22 - 2 - 4 = 16
`therefore` Required number of selection `= ""^(16)C_(9)`