Question

Assume that you have a total of 12 people on the committee: 3 black males, 3 black females, 1 white male, and 5 white females. Party rules require that at least one black and at least one female hold one of the three offices. Note that if individuals change offices, then a different selection exists.
In how many ways can the officers be chosen while still conforming to party rules?

Answer 1

DO you have any options ?

Answer 2

restriction number , at least 1 black:

C(12,6) where 12 is the total of people and 6 is the same as say 3 black men or 3 black female:

\[C (12,6) = \frac{ 12! }{ (12-6)! *6! }\]

Answer 3

@Pulsified333 are you following ?

Answer 4

yes thank you very much

Answer 5

wait that is not the whole answer

Answer 6

we're missing the second part

Answer 7

i got the answer

Answer 8

how did you do it ?

Answer 9

P(12,3)-P(6,3)-P(4,3)