Question: a.) Seven players show up for a basketball game. How many ways are there to choose five people to form a team? This problem is similar to P.361 #26 and P.360 Example 12.

b.) Suppose a department contains 5 men and 7 women. How many ways are there to form a committee with four members if there needs to be at least one man and at least one woman? This problem is similar to P.360 Example 15 and P.362 #33.