You want to choose a committee of 5 people from 13 men and 19 women. How many ways can this be done?

The problem can be solved using the concept of combinations in mathematics.

1. First, we need to understand that the committee can be formed with any combination of men and women. It could be all men, all women, or any combination in between.

2. The total number of people to choose from is 13 men + 19 women = 32 people.

3. We want to choose a committee of 5 people from these 32 people.

4. The number of ways to choose 5 people from 32 is given by the combination formula: C(n, r) = n! / [(n-r)! * r!], where n is the total number of items to choose from, r is the number of items to choose, and '!' denotes factorial.

5. Substituting the given values into the formula, we get: C(32, 5) = 32! / [(32-5)! * 5!] = 201376.

So, there are 201,376 ways to choose a committee of 5 people from a group of 13 men and 19 women.