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A committee is to be formed from amongst 9 boys and 6 girls. In how many ways can the boys and girls divide themselves into groups of three so that no group has more than 2 girls and no group has all boys?
A committee is to be formed from amongst 9 boys and 6 girls. In how many ways can the boys and girls divide themselves into groups of three so that no group has more than 2 girls and no group has all boys?
Updated On: Aug 19, 2024
- \(15 (9!)\)
- \(20 (9!)\)
- \(45 (8!)\)
- \(\frac{45}{2} (9!)\)
- \(\frac{45}{2} (8!)\)
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The Correct Option is D
Solution and Explanation
The correct answer is option (D): \(\frac{45}{2} (9!)\)
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