10 books are placed at random in a shelf. The probability that a pair of books will always be together is -.

10 books are placed at random in a shelf. The probability that a pair of books will always be together is -.

Ques:- 10 books are placed at random in a shelf. The probability that a pair of books will always be together is -.
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2 Answers on this Question

  1. All books can be arranged in 10! ways. A single pair of books can be taken as a unit and arranged among the 8 others in 9! ways. The pair of books can also be interchanged and therefore rearranged in 2! ways. Thus the probability of the pair always being together is (9!*2!)/10!

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