Q49

Consider the digital circuit shown below with two input lines $\text{A}$ and $\text{B}$, two select lines $\text{S0}$ and $\text{S1}$, and an output line $\text{Y}$. The blocks $\text{Q}$ and $\text{M}$ represent active high $2:4$ decoder and $4$-to-$1$ multiplexer, respectively. Out of $16$ possible input combinations, the number of combinations that produce $\mathrm{Y}=1$ is $\_\_\_\_\_\_$ (answer in integer) Note: One input combination is an instance of [$\text{A B S1 S0}$].