2018 AMC 10B Problem 3

In the expression \left(\underline{\qquad}\times\underline{\qquad}\right)+\left(\underline{\qquad}\times\underline{\qquad}\right) each blank is to be filled in with one of the digits 1,2,3, or 4, with each digit being used once. How many different values can be obtained?

\textbf{(A) }2 \qquad \textbf{(B) }3 \qquad \textbf{(C) }4 \qquad \textbf{(D) }6 \qquad \textbf{(E) }24 \qquad

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