Combination of r Things from n Things When All Are Not Different
Number of way...
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 D360 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×(8C2−4C1)=360