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A team of 6 is to be formed from a class consists of 5 boys and 4 girls, such that at least 2 boys and 3 girls should be in the team. How many ways that can be done?1. 302. 503. 754. 45 |
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Answer» Correct Answer - Option 2 : 50 Concept:
Calculation: Selection of 2 boys out of 5 = 5C2 = 10 Selection of 3 boys out of 5 = 5C3 = 10 Selection of 3 girls out of 4 = 4C3 = 4 Selection of 4 girls out of 4 = 4C4 = 1 Now the selection can be done in the ways = 2 boys and 4 girls + 3 boys and 3 girls Hence number ways N = 5C2 × 4C4 + 5C3 × 4C3 Total number of ways = 10 × 1 + 10 × 4 = 50 ways |
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