In December 2024
Answer to Question #162832 in Discrete Mathematics for mirzamoosa
Find the power set of the set {Ø , { Ø }, a, b, c} where a, b and c are distinct elements.
For the set "A=\\{\u00d8 , \\{ \u00d8 \\}, a, b, c\\}" the power set contains the following "2^5=32" subsets:
"P(A)=\\bigg\\{\u00d8, \\big\\{\u00d8\\big\\}, \\big\\{ \\{\u00d8\\} \\big\\}, \\big\\{a\\big\\}, \\big\\{b\\big\\}, \\big\\{c\\big\\}, \\\\ \\big\\{\u00d8, \\{\u00d8\\}\\big\\}, \\big\\{\u00d8, a\\big\\}, \\big\\{\u00d8, b\\big\\}, \\big\\{\u00d8, c\\big\\}, \\big\\{\\{\u00d8\\}, a\\big\\}, \\\\ \\big\\{\\{\u00d8\\}, b\\big\\}, \\big\\{\\{\u00d8\\}, c\\big\\},\\big\\{a, b\\big\\}, \\big\\{a, c\\big\\}, \\big\\{b, c\\big\\}, \\\\ \\big\\{\u00d8, \\{\u00d8\\}, a\\big\\}, \\big\\{\u00d8, \\{\u00d8\\}, b\\big\\}, \\big\\{\u00d8, \\{\u00d8\\}, c\\big\\}, \\\\ \\big\\{\u00d8, a, b\\big\\}, \\big\\{\u00d8, a, c\\big\\}, \\big\\{\u00d8, b, c\\big\\}, \\big\\{\\{\u00d8\\}, a, b\\big\\}, \\\\ \\big\\{\\{\u00d8\\}, a, c\\big\\}, \\big\\{\\{\u00d8\\}, b,c\\big\\}, \\big\\{a, b, c\\big\\}, \\big\\{\u00d8, \\{\u00d8\\}, a, b\\big\\}, \\\\ \\big\\{\u00d8, \\{\u00d8\\}, a, c\\big\\}, \\big\\{\u00d8, \\{\u00d8\\}, b, c\\big\\}, \\big\\{\u00d8, a, b, c\\big\\}, \\\\ \\big\\{\\{\u00d8\\}, a, b, c\\big\\}, \\big\\{\u00d8, \\{\u00d8\\}, a, b, c\\big\\} \\bigg\\}"
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