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

Discussion in 'Calculator Requests' started by math_celebrity, Nov 12, 2019.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    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
     

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