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5 persons A, B, C, D and E are in a queue of a shop. The probability that A and E always occur together, is

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5 persons A, B, C, D and E are in a queue of a shop. The probability that A and E always occur together, is A. 1 4 B. 2 3 C. 2 5 D. 3 5 Select the correct answer from above options

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Correct Answer - C 5 persons A, B, C, D and E can stand in a queue in 5! Ways. Persons A and E can occur together in 2! Ways. Considering A and E as one person, there are 4 persons who can be queued in 4! Ways. So, A and E can occur together in 4!×2! ways. So, required probability = 4!×2! 5! = 2 5

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