2 problems

Let $s$ be a positive integer, and let $L$ be a set of $s$ positive integers. For a positive integer $n$, write $[n]=\{1,\ldots,n\}$, and let $2^{[n]}$ denote the family of all sub…

Difference-multiset injectivity conjecture. As $n \to \infty$, the image of $\phi$ contains $2^{n-1}+o(2^{n})$ distinct elements. For a set $A$ with maximum element $a'$, the refle…