I have attempted part of this practice exercise in the text, but I need help in understanding the rest of it. I thought maybe another perspective would enlighten me. Thanks!
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.
After that, I am not sure how to proceed.