The number of ways in which a team of eleven players can be selected from 22 players including 2 of ...........

Quantitative Aptitude ( CCS) Permutation & Combination

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

¹⁶C₈

¹⁰C₈

¹⁶C₉

None of these

There are 22 players.

Four particular players are to be excluded..

18 players are left over for selection.

Out of these, 2 players are to be included in the team of 11.

Remaining 9 players are to be selected from 16 players.

This can be done in¹⁶C₉ ways.

Hence, option 3 is the correct answer.

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