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

There are 20 pairs of shoes in a cupboard. Ten shoes are taken at random.
The probability that exactly three complete pairs are possible from the selected shoes is

A

`(.^(20)C_(3)xx.^(17)C_(4)xx2^(4))/(.^(40)C_(10))`

B

`(.^(20)C_(10)xx2^(10))/(.^(40)C_(10))`

C

`(.^(20)C_(4)xx.^(16)C_(2)xx2^(2)+.^(20)C_(5))/(.^(40)C_(10))`

D

`(.^(20)C_(3)xx.^(17)C_(4))/(.^(40)C_(10))`

Text Solution

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The correct Answer is:
A
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