# Math Help - "Counting problem"

1. ## "Counting problem"

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

Is my answer correct?

Ans. 2^100 total subset, minus 101 subsets which are 100 subsets with 1 element and 1 element which is null.

2. Hello, robocop_911!

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

Is my answer correct?

Ans: . $2^{100}$ total subsets,
. . . . minus 100 subsets which have 1 element, and the null set.

$2^{100} - 101\quad\hdots$ Correct!