FINAL ONE!!!! THANKS TO ALL THOSE EXPLAINING THESE PROBLEMS FOR ME!!!!!
Assume that you have a total of 14 people on the committee: 2 black males, 5 black females, 2 white males, and 5 white females.
Party rules require that at least one black and at
least one female hold one of the three offices.
In how many ways can the officers be chosen
while still conforming to party rules?

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I'm getting 250. I'm not entirely sure about this answer however. Can someone verify?

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