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You have 2 identical books on English, 3 identical books on Hindi, and 4 identical books on Mathematics.

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You have 2 identical books on English, 3 identical books on Hindi, and 4 identical books on Mathematics. Find the number of distinct ways of arranging them on a shelf

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There are total 9 books to be arranged on a shelf. Out of these 9 books, 2 books on English, 3 books on Hindi and 4 books on mathematics are identical.

∴ Total number of arrangements possible =

= 9 × 4 × 7 × 5

= 1260

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