Pulsified333
  • Pulsified333
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?
Mathematics
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SOLVED
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chestercat
  • chestercat
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rock_mit182
  • rock_mit182
DO you have any options ?
rock_mit182
  • rock_mit182
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: \[C (12,6) = \frac{ 12! }{ (12-6)! *6! }\]
rock_mit182
  • rock_mit182
@Pulsified333 are you following ?

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Pulsified333
  • Pulsified333
yes thank you very much
rock_mit182
  • rock_mit182
wait that is not the whole answer
rock_mit182
  • rock_mit182
we're missing the second part
Pulsified333
  • Pulsified333
i got the answer
rock_mit182
  • rock_mit182
how did you do it ?
Pulsified333
  • Pulsified333
P(12,3)-P(6,3)-P(4,3)

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