(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I need to find the number of ways to make change for a dollar using an even number of coins, using only pennies, nickels, dimes, quarters, and fifty cent pieces.

2. Relevant equations

I found the generating function for the ways of making change for a dollar, 1/(1-x)(1-x^5)(1-x^10)(1-x^25)(1-x^50).

3. The attempt at a solution

I was thinking of changing the x into an x/2 to ensure that each number of coins is even, but I know that is not right. I am not sure how to ensure that there are an even number of coins. I need to find a new generating function, but am not sure what it is. Any help is appreciated. Thanks

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# Homework Help: Number of ways to make change for dollar with even number of coins

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