Ms.Rathman has lots of nickels, dimes, and quarters. in how many ways can he make change for 50 cents?

3 answers

Why don't you start by all the ways you can think of. Then post your answers, and we'll be glad to help you from there.
You can try enumeration by making a table of nickels, dimes and quaters that add up to 50 cents. For example:

N__D__Q
10_0__0
8__1__0
6__2__0
5__0__1
...
Continue until you have the table completed. Make sure you do not miss any case.
10