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Pulsified333

  • one year ago

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?

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  1. rock_mit182
    • one year ago
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    DO you have any options ?

  2. rock_mit182
    • one year ago
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    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: \[C (12,6) = \frac{ 12! }{ (12-6)! *6! }\]

  3. rock_mit182
    • one year ago
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    @Pulsified333 are you following ?

  4. Pulsified333
    • one year ago
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    yes thank you very much

  5. rock_mit182
    • one year ago
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    wait that is not the whole answer

  6. rock_mit182
    • one year ago
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    we're missing the second part

  7. Pulsified333
    • one year ago
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    i got the answer

  8. rock_mit182
    • one year ago
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    how did you do it ?

  9. Pulsified333
    • one year ago
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    P(12,3)-P(6,3)-P(4,3)

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