a team of five is chosen from seven men and five women to work on a special project. in how many ways can the team be chosen to include just three women?

210 ways.

Step-by-step explanation:

The number of ways to choose 3 women from 5 is 5C3 = 5! / 3!2!

= 10 ways.

The number of ways to choose 2 men form 7 = 7C2 = 7! / 5!2! = 21 ways.

So the number of ways of choosing the team of 5 = 10 * 21 = 210 ways.