CEMC

bridge

Member
A 0 or 1 is to be placed in each of the nine 1 × 1 squares in the 3 × 3 grid shown so that each row contains at least one 0 and at least one 1, and each column contains at least one 0 and at least one 1. The number of ways in which this can be done is

$$\textbf{(A) }126 \\ \textbf{(B) }120 \\ \textbf{(C) }138 \\ \textbf{(D) }102 \\ \textbf{(E) }96 \\$$