Question

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. \(15 (9!)\)
• B. \(20 (9!)\)
• C. \(45 (8!)\)
• D. \(\frac{45}{2} (9!)\)
• E. \(\frac{45}{2} (8!)\)

Answer 1

The Correct Option is D

The correct answer is option (D): \(\frac{45}{2} (9!)\)