Total number of subsets in a set
I was reading about subsets, in that, the article suggests the total number of subsets in a set is , where n is the number of elements in the set. For example - the total number of subsets is 32 because n is 5 and is 32 by multiplicative principle.
But the multiplicative principle is that if m events can happen in n ways then the possible outcomes are . So in the subsets problem if every element has 2 possibilities of it being in set or not being in set why is it not and ? I know that the is correct but not able to visualize it.