SOLUTION: The emergency room at Victory hospital employs eight male and ten female nurses. A special Triage unit of six nurses is being formed. In how many ways can this be done if:
a): T
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a): T
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Question 99923: The emergency room at Victory hospital employs eight male and ten female nurses. A special Triage unit of six nurses is being formed. In how many ways can this be done if:
a): The unit must have three males and three females?
b): The unit must have at least one female nurse?
Thanks...
Steve Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The emergency room at Victory hospital employs eight male and ten female nurses. A special Triage unit of six nurses is being formed. In how many ways can this be done if:
a): The unit must have three males and three females?
# of ways to pick 3 males: 8C3
# of ways to pick 3 females: 10C3
# of ways to have 3 males and 3 females = 8C3 * 10C3 = 6720 ways
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b): The unit must have at least one female nurse?
# of ways to pick 6 nurses with any gender = 18C6
# of ways to pick 6 male nurses = 8C6
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# of ways to pick 6 nurses with at least one female
equals 18C6 - 8C6 = 18,536
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Cheers,
Stan H.
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