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# Probability With Sets

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Let \(S ={ 1,2,3,...,n}\). Three subsets \(A,B,C\) of \(S\) are chosen at random.

(a) Find the probability that \(A \cup B \cup C = S.\)

(b) Find the probability that \(A⊆B⊆C\).

Thank you!

Apr 1, 2020