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Question

Number of ways of selecting 6 shoes, out of 6 pair of shoes, having exactly two pairs is

A
1440
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B
240
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C
720
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D
360
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Solution

The correct option is D 360
We can select 2 pairs of shoes from 6 pairs in 6C2 ways
Now rest 2 shoes we can select from 8 shoes such that no pairs of shoes gets selected
So selection of 2 shoes can be done in 8C2 ways but we have to remove the cases in which one pair of shoes gets selected which is 4C1
Required number of ways
=6C2×(8C24C1)=360

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