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Question

# There are 10 pairs of shoes in a cupboard from which 4 shoes are taken at random. Then the probability of getting:-

A
no pair is 224323
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B
atleast one pair is 99323
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C
exactly two pairs is 3323
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D
exact;y one pair is 96323
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Solution

## The correct options are A no pair is 224323 C exactly two pairs is 3323Probability of no pair=2020×1819×1618×1417=224323Probability of at least one pair=1- probability of no pair=1-224/323=99/323Probability of exactly one pair=10C1+(18C2−9)20C4=1544845Probability of exactly two pairs=10C220C4=3323

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