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The number of ways in which a cricket team of 11 players be chosen out of a batch of 15 players so that the captain of the team is always included, is
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The correct answer is:
1001
If captain is always included then we can choose 10 more players out of the remaining 14 players. So
${ }^{14} \mathrm{C}_{10}=\frac{14 !}{10 ! 4 !}=1001$
${ }^{14} \mathrm{C}_{10}=\frac{14 !}{10 ! 4 !}=1001$
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