17. Choose the property and evaluate the set operation

If $P$ $=$ $\{$$x$ : $x$ $=$ $2^n$, $n \in \mathbb{W}$ and $n \le 3\}$, $Q$ $=$ $\{$$x$ : $x$ $=$ $2n$, $n \in \mathbb{N}$ and $n \le 4\}$ and $R$ $=$ $\{$$0$, $1$, $2$, $4$, $7$$\}$, then evaluate the following:

 

(i) Associative property of union of sets: $P$ $\cup$ $($$Q$ $\cup$ $R$$)$ $=$ $($$P$ $\cup$ $Q$$)$ $\cup$ $R$$P$ $\cap$ $($$Q$ $\cup$ $R$$)$ $=$ $($$P$ $\cap$ $Q$$)$ $\cup$ $R$$P$ $\cap$ $Q$ $=$ $Q$ $\cap$ $P$$P$ $\cup$ $Q$ $=$ $Q$ $\cup$ $R$

 

(ii) $P$ $\cup$ $($$Q$ $\cup$ $R$$)$ $=$ $\left\{i,i,i,i,i,i,i\right\}$.

 

[Note: Insert your answer in ascending order]