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In how many ways a committee of 4 members can be made out of 5 boys and 4 girls containing at least 2 girls?1. 312. 413. 814. 515. 61 |
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Answer» Correct Answer - Option 3 : 81 Given Number of boys = 5 Number of girls= 4 Concept nCn = nC0 = 1 Calculation As there is at least 2 girls from the committee of 4 members. Therefore there could be 2,3 and 4 girls in a committee. So, 5B0 × 4G 4+ 5B1× 4G 3+ 5 B 2 × 4 G 2 ⇒ 1 + (5 × 4!/1! × 4!) × (4 × 3!/3! × 1!) + (5 × 4 × 3!/2 × 1 × 3!) × (4 × 3 × 2 × 1)/(2 × 1 × 2 × 1) ⇒ 1 + 20 + 60 ⇒ 81 |
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