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
Algebra.Com
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
---------------------------------------------
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
----------
# of ways to pick 6 nurses with at least one female
equals 18C6 - 8C6 = 18,536
========================
Cheers,
Stan H.
RELATED QUESTIONS
Hi, I would like some help with this problem:
In a hospital unit there are eigth nurses... (answered by ewatrrr)
A combination of 10 nurses are selected out of 90 for a study. 20 of the 90 nurses are... (answered by stanbon)
As part of a monthly inspection at a hospital, the inspection team randomly selects... (answered by scott8148)
A panel of 6 members is to be formed from 5 doctors and 10 nurses to include each... (answered by ikleyn)
a commitee is formed by randomly selecting from eight nurses and two doctors. what is the (answered by jsmallt9)
A panel of 6 members is to be formed from 5 doctors and 10nurses to include each... (answered by greenestamps)
Six nurses raised $1000 fir charity. They made and unmade a bed 926 times. This took... (answered by richwmiller)
Emergency Room Tests The frequency distribution shows the number of medical tests... (answered by math_tutor2020)
Emergency Room Tests The frequency distribution shows the number of medical tests... (answered by CPhill)