If A={2,4,6,8} find all subsets of set A. Identify proper and inproper subsets
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Given: A={2,4,6,8}
The power set is given by:
⇒P(A)={ɸ,{2},{4},{6},{8},{2,4},{2,6},{2,8},{4,6},{4,8},{6,8},{2,4,6},{2,4,8},{2,6,8},{4,6,8},{2,4,6,8}}
Here, n[P(A)]=2⁴=16 subsets
Improper subsets are: {2,4,6,8} & ɸ
Proper sets are: {2},{4},{6},{8},{2,4},{2,6},{2,8},{4,6},{4,8},{6,8},{2,4,6},{2,4,8},{2,6,8}, & {4,6,8}
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