Math CentralQuandaries & Queries


Peter, a student:

In how many ways can you make 30 cents with quarters, nickels, and pennies?


I think you just need to count them.

If you use a quarter then there are two ways -- a quarter and a nickel and a quarter and 5 pennies.
If you use only pennies is only one way -- 30 pennies.
What remains is that you use at least one nickel and no quarters. How many such are there?


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