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Homework help Please!

Mathematics
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Let S and T be disjoint sets. Show that P(S) X P(T) and P(S U T) have the same cardinality two ways.

(a) Using the formulae for set cardinality

(b) Directly by showing there is a bijection between them. (you must prove that your function is a bijection

Apr 9th, 2015

S and T are 2 disjoint sets 

so P(S)constains 2^n elements

and P(T) contains 2^p elements

so,P(S)*P(T)=2^n+p

P(SUT)=2^n+2^p    (for disjoint set)

           

            

Apr 9th, 2015

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