JEE Advanced Mathematics question

Four cards are drawn at random from a pack of 52 playing cards. The probability that the draw contains exactly one pair (i.e., having the same number) is

(A)
(B)Correct
(C)
(D)none of these

Answer: (B)

Solution

. For exactly one pair: - choose the denomination of the pair: ways; choose its 2 suits: ; - the other two cards must be of two **different** denominations from the remaining 12: ways, and each can be of

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Question ID VK-109925