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Question

In how many ways a team of 11 players can be selected from 15 players if-


A
14 C11,14 C11
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B
15 C10,15 C11
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C
14 C10,15 C11
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D
14 C10,14 C11
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Solution

The correct option is D 14 C10,14 C11
Case 1: Captain is included.
Here, we have already selected 1 player. Remaining players to be selected are 10 and Total player remaining are 14. So, we have to select 10 players out of 14 players. Selection can be made in 14C10 ways.

Case 2: captain is not included.
Here, as captain can not be included, we have to select 11 players from 14 players. Selection can be made in 14C11 ways.

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