Subjects set theory

Subsets Count 609Fca

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1. Problem: Find the number of subsets and proper subsets of the set $A = \{13,14,15,16,17,18\}$. 2. Formula: The number of subsets of a set with $n$ elements is $2^n$. The number of proper subsets is $2^n - 1$ because the set itself is not a proper subset. 3. For set $A$, $n=6$. So, number of subsets = $2^6 = 64$. 4. Number of proper subsets = $64 - 1 = 63$. This completes the solution for the first question.