Question

How many subsets of a set with 100 elements have more than one element?

Answer 1

100 subsets will have one element and a nullset...therefore subsets having one or less than one element = 101

Subsets with more than one element =2^100 - 101

Where 2^100 is total number of subsets.

Answer 2

total no. of subsets possible =
${2}^{100}$
but we need subsets with more than one elements
soooo.... the required is
${2}^{100} - 101$
becoz.... 100 subsets with each elements and 1 extra for empty/null subsets