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asked in Set Theory & Algebra by Active (1.3k points)   | 31 views

1 Answer

+1 vote

P[P[P($\Phi$)]] contains 4 elememts.

Now, #non-empty subsets

= $\binom{4}{1}+\binom{4}{2}+\binom{4}{3}$

= 24 - $\binom{4}{0} - \binom{4}{4}$

= 14

answered by Veteran (14.7k points)  

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