Question
Eight books out of which 4 are part of a series and the
remaining are standalone books are to be arranged on a shelf. Find the number of arrangements in which all four series books are not together.Solution
Total number of arrangements = 8! = 40320 ways
Treat 4 series books as one: arrangements among themselves = 4! = 24 ways
Arrange remaining 5 items = 5! = 120 ways
Therefore, required number of ways = 40320 – (24 × 120) = 37440 ways
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