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Find the number of ways of selecting 3 pairs from 8 distinct objects. |
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Answer» Number of ways of selecting first pair of objects `= .^(8)C_(2)` Number of ways of selecting second pair of objects `= .^(6)C_(2)` Number of ways of selecting third pair of objects `= .^(4)C_(2)` `therefore` Number of ways `=(.^(8)C_(2)xx .^(6)C_(2) xx .^(4)C_(2))//3!`, since the order in which pairs are selected is immaterial. |
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