2021 Gauss 8 Problem 9

An ant begins its path at A, travels only right or down, and remains on the line segments shown. The number of different paths from A to C that pass through B is

\textbf{(A)}\ 2\quad \textbf{(B)}\ 3\quad \textbf{(C)}\ 4\quad \textbf{(D)}\ 5\quad \textbf{(E)}\ 6

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 Gauss contests here.