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From a class of 9 boys and 7 girls 12 students are to be chosen for a competition which includes at least 6 boys and at least 4 girls. In how many ways can this be done if a particular boys is always chosen? |
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Answer» No. of ways = 8C5 × 7C6 + 8C6 × 7C5 + 8C7 × 7C4 = 56 × 7 + 28 × 21 + 8 × 35 = 1260 |
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