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Question

Write down the power set of set B={1,2,3}.


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Solution

Power set.

A power set consists of all subsets, the empty set, and the original set.

i.e; Total number of power set =2n where n is the number of elements is the given set

Given set is, B=1,2,3 here n=3

So, the Total number of power set =2n=23=8

Thus, Subsets of the set B=1,2,3 are ϕ,{1},{2},{3},{1,2},{1,3},{2,3} and{1,2,3}.

Hence, the power set of the set B is ϕ,{1},{2},{3},{1,2},{1,3},{2,3},{1,2,3}.


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