How many different combinations of $5 bills and $2 bills can be used to make a total of $17? Order does not matter in this problem.

It says it has 2 ways but I found multiple.

How many different combinations of $5 bills and $2 bills can be used to make a total of $17? Order does not matter in this problem.

It says it has 2 ways but I found multiple.

There are only 2 ways.

first of all, it says that order does not matter, which means that 5 5 5 2 is the same as 2 5 5 5.

second, there are just 2 ways, once you consider parity. 5 5 5 2 and 5 2 2 2 2 2 2. you cannot have 2 fives, because if you do, once you add the 2s, it will stay even, and 17 is not even.

therefore, there are only 2 solutions