Question 8
For any nonempty finite set $A$ of real numbers, let $s(A)$ be the sum of its elements. There are exactly $61$ three-element subsets $A$ of $\{1,\ldots,23\}$ with $s(A)=36$. Find the number of three-element subsets of $\{1,\ldots,23\}$ with $s(A)\lt 36$.