2022 Pascal Problem 19

Miyuki texted a six-digit integer to Greer. Two of the digits of the six-digit integer were 3s. Unfortunately, the two 3s that Miyuki texted did not appear and Greer instead received the four-digit integer 2022. The number of possible six-digit integers that Miyuki could have texted is

\textbf{(A)}\ 20\quad \textbf{(B)}\ 10\quad \textbf{(C)}\ 5\quad \textbf{(D)}\ 25\quad \textbf{(E)}\ 15

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Pascal contests here.