2025 AMC 10A Problem 12

Carlos uses a 4-digit passcode to unlock his computer. In his passcode, exactly one digit is even, exactly one (possibly different) digit is prime, and no digit is 0. How many 4-digit passcodes satisfy these conditions?

\textbf{(A)} 176 \qquad \textbf{(B)} 192 \qquad \textbf{(C)} 432 \qquad \textbf{(D)} 464 \qquad \textbf{(E)} 608

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