Question

fill in the blank so that the resulting statement is true. the number of distinct proper subsets of a set with n elements is.

Explanation:

Step1: Recall total subsets formula

A set with $n$ elements has $2^n$ total subsets (including the set itself and the empty set).

Step2: Subtract the set itself

A proper subset excludes the set itself. So subtract 1 from the total number of subsets.
<Expression>
$2^n - 1$
</Expression>

Answer:

$2^n - 1$