Found problems: 1
2020 AMC 10, 18
Let $(a, b, c, d)$ be an ordered quadruple of not necessarily distinct integers, each one of them in the set $\{0,1,2,3\}$. For how many such quadruples is it true that $a\cdot d-b\cdot c$ is odd$?$ (For example, $(0, 3, 1, 1)$ is one such quadruple, because $0\cdot 1-3\cdot 1=-3$ is odd.)
$\textbf{(A) } 48 \qquad \textbf{(B) } 64 \qquad \textbf{(C) } 96 \qquad \textbf{(D) } 128 \qquad \textbf{(E) } 192$