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      Question

      Geography 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! ├Ч 8! Correct Answer Incorrect Answer
      B 12! тАУ (5! ├Ч 8!) Correct Answer Incorrect Answer
      C 6! ├Ч 7! Correct Answer Incorrect Answer
      D 12! тАУ(7! ├Ч 6!) Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      No. of when Geography book are always together = 7! × 6! Total no. of ways when all the books are arranged without any condition = 12! No. of when Geography book are never together = 12! – (7! × 6!)

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