Committees of 4 men 5 women form a group of 11 men and 11 women.

[math_celebrity]

Committees of 4 men 5 women form a group of 11 men and 11 women.

We want combinations.

4 men from 11 men is the combination 11C4. Using our combinations calculator, we get:
11C4 = 330

5 women from 11 women is the combination 11C5. Using our combinations calculator, we get:
11C5 = 462

We multiply the committee of men times the committee of women:
11C4 * 11C5 = 330 * 432
11C4 * 11C5 = 142,560