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A question paper on mathematics consists of 12 questions divided in to 3 pars A, B and C, each containing 4 questions. In how many ways can an examinee answer questions selecting at least one from each part.

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Correct Answer - `. ^(12)C_(5)-3xx .^(8)C_(5)`
Required number of ways=Total number of ways in which he does not select any question from any one section `= .^(12)C_(5)-3 xx .^(8)C_(5)`

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