Find the number of ways of selecting 4 girls and 4 boys out of 7 girls and 6 boys.

Question: Find the number of ways of selecting 4 girls and 4 boys out of 7 girls and 6 boys.

Solution:
The number of ways of selecting 4 girls and 4 boys out of 7 girls and 6 boys is
⁷C₄ × ⁶C₄
= {7!/(4! × 3!)} × {6!/(4! × 2!)}
= (35 × 15)
= 525 ways