Question 103
How many functions $f:\{0,1\}^{3} \rightarrow \{0,1\}$ satisfy the property that, for all ordered triples $(a_{1}, a_{2}, a_{3})$ and $(b_{1}, b_{2}, b_{3})$ such that $a_{i} \geq b_{i}$ for all $i$, $f(a_{1}, a_{2}, a_{3}) \geq f(b_{1}, b_{2}, b_{3})$?