2023 AMC 10B Problem 11

Suzanne went to the bank and withdrew \$800. The teller gave her this amount using \$20 bills, \$50 bills, and \$100 bills, with at least one of each denomination. How many different collections of bills could Suzanne have received?

\textbf{(A)} 45 \qquad \textbf{(B)} 21 \qquad \textbf{(C)} 36 \qquad \textbf{(D)} 28 \qquad \textbf{(E)} 32

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.