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.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 × 24) = 4464 ways
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