Question

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.

$2$

$3$

$4$

$5$

$6$

Since the total $\$17$ is odd, the number of $\$5$ bills must be odd.

One $\$5$ bill leaves $\$12$ , which is six $\$2$ bills. Three $\$5$ bills leave $\$2$ , which is one $\$2$ bill. Five $\$5$ bills is too much.

Therefore, there are $2$ combinations.

Thus, A is the correct answer.