AMC 8 2020 Problem 19

A number is called flippy if its digits alternate between two distinct digits. For example, $2020$ and $37373$ are flippy, but $3883$ and $123123$ are not. How many five-digit flippy numbers are divisible by $15?$ $\textbf{(A) }3 \textbf{(B) }4 \textbf{(C) }5 \textbf{(D) }6 \textbf{(E) }8$