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      Question

      Seven books out of which 4 are novels and rest are comics

      have to be arranged on a shelf. Find the number of ways of arrangement in which all four novels are not placed together.
      A 4560 Correct Answer Incorrect Answer
      B 4464 Correct Answer Incorrect Answer
      C 4320 Correct Answer Incorrect Answer
      D 5040 Correct Answer Incorrect Answer
      E 4788 Correct Answer Incorrect Answer

      Solution

      Total number of ways of arrangement = 7! = 5040 ways
      If we consider 4 novels as one book, number of ways of arrangement among themselves = 4! = 24 ways
      Number of ways of arrangement of remaining 4 items = 4! = 24 ways
      Therefore, required number of ways = 5040 – (24 Γ— 24) = 4464 ways

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