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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 8 pairs of shoes, having exactly two pairs is

A

1680

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B

240

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C

120

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D

3360

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Solution

The correct option is A 1680
Required number of ways = $^{8} C_{2} \times^{6} C_{2} \times 2^{2} = 1680$

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