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There are 20 pairs of shoes in a closet....

There are 20 pairs of shoes in a closet. Out of them 4 shoes are selected at random. The probability that there is exactly one pair among the 4 shoes is

A

`(.^(20)C_(1)xx.^(38)C_(2))/(.^(20)C_(2))`

B

`(.^(20)C_(1)(.^(38)C_(2)-.^(19)C_(1)))/(.^(40)C_(4))`

C

`(.^(20)C_(1)(.^(38)C_(2)-.^(9)C_(1)))/(.^(20)C_(2))`

D

`(.^(20)C_(1)xx.^(38)C_(2))/(.^(40)C_(4))`

Text Solution

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The correct Answer is:
B
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