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Question Number 159071 by physicstutes last updated on 12/Nov/21

$$\mathrm{Determine}\mathrm{the}\mathrm{cardinality}\mathrm{and}\mathrm{power}$$$$\mathrm{set}\mathrm{of}$$$$B=\{\{a,b,c\},\{d,e\},\{f,g,h,i\}$$

Answered by Rasheed.Sindhi last updated on 12/Nov/21

$$\mathrm{cardinality}\mathrm{of}\mathrm{B}=3,\mathrm{because}\mathrm{B}$$$$\mathrm{has}3\mathrm{members}:\left(1\right)\{a,b,c\}$$$$\left(2\right)\{d,e\}\left(3\right)\{f,g,h,i\}$$$$\mathrm{Let}{\mathrm{they}}^{\prime }\mathrm{re}\mathrm{named}\mathrm{as}\mathrm{X},\mathrm{Y}\mathrm{\&}\mathrm{Z}$$$$\mathrm{Power}\mathrm{Set}\mathrm{of}\mathrm{B}$$$$\mathrm{P}\left(\mathrm{B}\right)=\{\varphi ,\left\{\mathrm{X}\right\},\left\{\mathrm{Y}\right\},\left\{\mathrm{Z}\right\},\{\mathrm{X},\mathrm{Y}\}\{\mathrm{X},\mathrm{Z}\}\{\mathrm{Y},\mathrm{Z}\}\{\mathrm{X},\mathrm{Y},\mathrm{Z}\}\}$$

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