Does the following simple set have a name

Question

This question might sound ridiculous, but I want an answer.

For every natural $N$ and $k < N$ define the set

$$ S_{N,k} = \left\{ (i_1, i_2, \ldots, i_k) \in \mathbb{N} : 0 \leq i_1 < i_2 < \ldots < i_k < N \right\} $$

So for example if $N=5$ and $k=3$ we have the following enumeration

0 1 2
0 1 3
0 1 4
0 2 3
0 2 4
0 3 4
1 2 3
1 2 4
1 3 4
2 3 4

Does $S_{N,k}$ have a name?