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From a heap containing 10 pairs of shoes...

From a heap containing 10 pairs of shoes 6 shoes are selected at random. Find the probability that
(i) There is no complete pair in the selected shoes
(ii) atleast one correct pair in the selected shoes
(iii) 2 correct pairs in the selected shoes.

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The correct Answer is:
`(i) (.^(10)C_(6)xx2^(6))/(.^(20)C_(6))`
`(ii) (211)/(323)`
`(iii) (42)/(323)`
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