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

Answer: (D)

$\frac{45}{2} (9!)$

Answer 2

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