Imagine that you work on a ranch that has 24 horses. The owner of the ranch tells you that you must put all of the horses in corrals. You can fence off the corrals many different ways. The owner says you must put the same number of horses in each corral. What is one way you might do this? How many different to do this can you find?
You have been given 3 dozen freshly baked doughnuts. What are all the different ways you could share them evenly with your friends? You might want to use pennies to help you figure out this problem. You can arrange the pennies into groups, with the same number in each group.
There are 18 musicians in Mr. Singer’s jazz band. He would like your help in figuring out how many different ways he can arrange them on the stage. He would like them to be in even rows. How many different ways could Mr. Singer have the jazz band set up on the stage?