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There are 7 women and 9 men on a faculty.
a.) How many ways are there to select a committee of 5 members if at least 1 member must be a woman?
b.) How many ways are there to select a committee of 5 members if at least 1 man and 1 woman must be on the committee?
For the first part, I so far have that there could be 4 men and 1 woman for the committee. There could also be 3 men and 2 women. My possibilities are: 4 men and 1 woman, or 3 men and 2 women. For part b, my possibilities are: 4 women and 1 man, or 3 women and 2 men.
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If this problem is too difficult, then perhaps you may solve an easier one, just to give me some direction please. The only example I have is the Riemann function for the telegraph equation
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Suppose a given container has 2 non-working engines. Find the probability that the container will not be shipped.
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