Correct Answer - Option 4 : 11760
Calculation:
The committee can be formed in 8C5 × 10C6 ways
⇒ {8!/5! × (8 - 5)!} × {10!/6! × (10 - 6)!}
⇒ {8!/5! × 3!} × {10!/6! × 4!}
⇒ {(8 × 7 × 6)/(3 × 2 × 1)} × {(10 × 9 × 8 × 7)/(4 × 3 × 2 × 1)}
⇒ (8 × 7) × (10 × 3 × 7)
⇒ 11760
∴ The committee can be formed in 11760 ways.