Anybody have any additional ideas on this problem?

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?

http://openstudy.com/users/cwhutche#/updates/4f2b66d8e4b0e1bedb5ce52f

Question

Anybody have any additional ideas on this problem?

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?

http://openstudy.com/users/cwhutche#/updates/4f2b66d8e4b0e1bedb5ce52f