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How many true inclusion relations are there of the from $A \subseteq B$, where $A$ and $B$ are subsets of a set $S$ with $n$ elements?
asked in Set Theory & Algebra by Veteran (39.7k points) 255 1306 1936 | 235 views
is it 3^n
@Arjun Sir or @Bikram Sir, Could you please help with this? Does true inclusion mean proper subset? How to calculate this?

Almost similar to this QS ... but positions of 1's will differ and not on the both sides of the diagonal. Summation of 1's results $3^n$

Answer is $3^n$

Thanks @Debashish

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