The number of ways to choose r objects from n distinct objects without regard to order.

How many permutations of the letters PRODUCT have consonants in the second and third positions?

In how many different ways can six children ride a "Merry Go Around" with six horses?

What is 2^n if 6 choose r?

A batch contains 10 transistors of which three are defective. If three are chosen, in how many ways can they be selected with two defective?

You have 12 identical cookies to distribute among 3 friends. Al must get at least 2 cookies, Bob at least 1 cookie, and Chito can get any amount (including zero). How many ways can this be done?

There are 8 teams in the league. How many games are played if every team plays each other two times?

A toy factory has 8 unique toys and wants to pack them into 4 identical gift boxes with 2 toys per box. How many ways can the toys be packed?

The total number of ways to perform a sequence of tasks is the product of the number of ways each task can be performed.