Correct Answer - Option 1 : 14850
Given:
A committee having 7 boys and 2 girls
A group consist 11 boys and 10 girls
Formula used:
Combination = n! / r!(n - r)!
Calculation:
A committee having 7 boys and 2 girls
A group consist 11 boys and 10 girls
Combination = n! / r!(n - r)!
The number of ways it can be selected = {n! / r!(n - r)!} × {n! / r!(n - r)!}
⇒ {11! / (7! × 4!)} × {10! / (2! × 8!)}
⇒ {(11 × 10 × 9 × 8) / (4 × 3 × 2)} × {(10 × 9) / (2)}
⇒ 330 × 45
⇒ 14850
∴ The number of ways it can be selected is 14850.
