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    Question

    History books are never together.

    In how many ways 5 History books and 7 geography books can be arranged in a row so that :
    A 6! Ă— 8! Correct Answer Incorrect Answer
    B 12! – (5! × 8!) Correct Answer Incorrect Answer
    C 6! Ă— 7! Correct Answer Incorrect Answer
    D 12! – (6! × 8!) Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    No. of when History books are always together = 5! × 8! Total no. of ways when all the books are arranged without any condition = 12! No. of ways when History book are never together = 12! – (5! × 8!)

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