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[tex]\textcolor{brown}{\mathsf{Subsets \: with \: no \: element:}} \\ \mathsf{Subset}: \(\{\}\) (\mathsf{the \: empty \: set)} \\ \mathsf{Number \: of \: subsets}: 1[/tex]
[tex] \textcolor{brown}{\mathsf{Subsets \: with \: one \: element:}} \\ \mathsf{Subsets}: \(\{w\}, \{x\}, \{y\}, \{z\}\) \\ \mathsf{Number \: of \: subsets}: 4[/tex]
[tex]\textcolor{brown}{\mathsf{Subsets \: with \: two \: elements:}} \\ \mathsf{Subsets}: \(\{w, x\}, \{w, y\}, \{w, z\}, \{x, y\}, \{x, z\}, \{y, z\}\) \\ \mathsf{Number \: of \: subsets}: 6[/tex]
[tex]\textcolor{brown}{\mathsf{Subsets \: with \: three \: elements:}} \\ \mathsf{Subsets}: \(\{w, x, y\}, \{w, x, z\}, \{w, y, z\}, \{x, y, z\}\) \\ \mathsf{Number \: of \: subsets}: 4[/tex]
[tex]\textcolor{brown}{\mathsf{ \: \: \: \: \: \: \: \: \: Subsets \: with \: four \: elements:}} \\ \mathsf{Subset}: \(\{w, x, y, z\}\) \\ \mathsf{Number \: of \: subsets}: 1[/tex]
[tex] \textcolor{brown}{\mathsf{Total \: number \: of \: subsets:}} \\ \mathsf{The \: total \: number \: of \: subsets \: of \: a \: set \: with \: } \( n \) \mathsf{\: elements \: is \: } \( 2^n \). \\ \mathsf{For \: } \( Q \) \mathsf{\: with \: 4 \: elements: \: } \( 2^4 = 16 \) [/tex]
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