How many batting orders are possible for the Indian cricket team if there is a squad of 15 to choose from such that Sachin Tendulkar is always chosen ?

1001 \times 11!

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364 \times 11!

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11!

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15 \times 11!

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Solution

The correct option is A $1001 \times 11!$
$^{15 - 1} C_{11 - 1} \times 11!$

$\Rightarrow^{14} C_{10} \times 11! = 1001 \times 11!$

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In how many ways can a cricket team of 11 players be chosen out from a squad of 14 players, if 5 particular players are always chosen?

16

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