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In how many ways can 3 books on Hindi and 3 books on English be arranged in a row on a shelf, so that not all the Hindi books are together?
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The correct answer is:
576
Total number of arrangement $=6 !=720$ Total number of arrangement while all the Hindi books are together $=4 ! \times 3 !=24 \times 6=144$ $\therefore$ The number of ways, in which books are arranged, while all the Hindi books are not together $=720-144=576$
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