Chapter 8.5, Problem 20ES

Let $S=\left\{0,1\right\}$ and consider the partial order relation R defined on $S\times S\times S$ as follows: For all ordered triples $\left(a,b,c\right)$ and $\left(d,e,f\right)$ in $S\times S\times S$ . $\left(a,b,c\right)R\left(d,e,f\right)\iff a\le d,b\le e,\text{and}c\le f.$

Where $\le$ denotes the usual “less than or equal to” relation for real numbers. Draw the Hasse diagram for R.