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In how many ways can 5 Mathematics, 4 English and 3 Accountancy books can be arranged in a shelf if all books on the same subject are together.

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In how many ways can 5 Mathematics, 4 English and 3 Accountancy books can be arranged in a shelf if all books on the same subject are together.

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If all books on the same subject are together then total number of ways

 = 3! x 5! x 4! x 3!

 = 6 x 120 x 24 x 6

 = 103680

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