Question 14
If $P=\{p,i,m,s,o\}$ and $C=\{c,i,s,m,o\}$ then $\mathfrak R=\{x\mid x\text{ is a subset of }P\}$ and $\mathfrak F=\{y\mid y\text{ is a subset of }C\}$. Let N be the number of subsets in $\mathfrak R$ and M be the number of subsets in $\mathfrak F$. Let X be the number of common elements of $\mathfrak R$ and $\mathfrak F$. Find $N+M-X$.
Interpretation note: count the subsets of P and C that are elements of the displayed power sets.
Interpretation note: count the subsets of P and C that are elements of the displayed power sets.