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Question
10 books are placed at random in a shelf. The probability that a pair of books will always be together is -
Options:
A .  $$\frac{{1}}{{10}}$$
B .  $$\frac{{9}}{{10}}$$
C .  $$\frac{{1}}{{5}}$$
D .  $$\frac{{3}}{{10}}$$
Answer: Option C
10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!
∴ Required probability = $$\frac{{1}}{{5}}$$

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