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The number of ways in which ca cricket team of 11 players be chosen out of a btch of 15 players so that the captain of the team is always included, is

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The number of ways in which ca cricket team of 11 players be chosen out of a btch of 15 players so that the captain of the team is always included, is
A. 165
B. 364
C. 1001
D. 1365
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Correct Answer - C
If captain is always included then we can choose 10 more players out of the remaining 14 players. So
`.^(14)C_(10) = (14!)/(10!4!) = 1001`
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