Assertion :Number of ways in which Indian team (11 players) can bat, if Yuvraj wants to bat before Dhoni and Pathan wants to bat after Dhoni is $\frac{11!}{3!}$ . Reason: Yuvraj, Dhoni, and Pathan can be arranged in batting order in 3! ways.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Assertion is incorrect but Reason is correct

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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
The batting order of 11 players can be decided in 11! ways.
Now Yuvraj, Dhoni, and Pathan can be arranged in 3! ways. But the order of these three players is fixed, i.e., Yuvraj-Dhoni-Pathan.
Now, 11! answer is 3! times more; Hence, the required answer is 11!/3!.

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