Find the number of different ways that an instructor can choose 5 students from a class of 13 students for a field trip.

Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight DVD players. How many different TV/DVR/DVD systems can you assemble?

How many different baseball bating line ups are possible if the coach wants to put one of the three best batters in the third position and the pitcher in the fifth position?

You must choose an elective for your fourth block class. You can choose from 3 different physical education  classes, 4 different computer classes or 2 different culinary classes. How many different possible selections could you make for his first period elective?

Find the number of different ways that an instructor can choose 7 students from a class of 23 students for a field trip.

The president of the college asked a fraternity to submit a list of 7 students to serve as guides at a school function. They have 19 students who are Available to help. In how many ways can the students be chosen?

From the 12 male and 10 female sales representatives for an insurance​ company, a team of 4 men and 4 women will be selected to attend a national conference on insurance fraud. In how many ways can the team of 8 be​ selected?

There is a town party in Pleasantville where 6 families of 3 people each get together. If one representative from each family gives a gift to everyone at the party except people from their own family, how many gifts in total are given?

7Find the number of ways to distribute 24 different color markers into 3 identical bags, if each bag gets at least 7 markers.

A deli offers 6 different toppings. You are allowed 4 different toppings. In other words, you can't select the same topping more than one more time per sandwich. How many choices of 4 toppings are there