1.

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? 

Answer»

No. of ways 

= 8C5 × 7C6 + 8C6 × 7C5 + 8C7 × 7C4 

= 56 × 7 + 28 × 21 + 8 × 35 = 1260



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