Let $k$ and $n$ be two strictly positive integers. Show that there exists only a finite number of partitions of the set $\llbracket 1 , n \rrbracket$ into $k$ parts.
Let $k$ and $n$ be two strictly positive integers. Show that there exists only a finite number of partitions of the set $\llbracket 1 , n \rrbracket$ into $k$ parts.