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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! × 8! Correct Answer Incorrect Answer
      B 12! – (5! × 8!) Correct Answer Incorrect Answer
      C 6! × 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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