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In how many ways can 21 English and 19 Hindi books be placed in a row so that no two Hindi books are together?

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1540

1450

1504

1405

answer is A.

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Detailed Solution

First we fix the alternate position of English books. Then, there are 22 vacant places for Hindi books,
Hence, total number of ways $=^{22} C_{19} = \frac{22!}{3! 19!} = 1540$

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