0 like 0 dislike
30 views
For which positive integers does the following hold: If $a_1, a_2, \ldots, a_n$ are positive integers, $a_k \leq n$ for each $k$ and $\sum_{k=1}^n=2 n$, then it is always possible to choose $a_{i_1}, a_{i_2}, \ldots, a_{i_j}$ so that indexes $i_1, i_2, \ldots, i_j$ are different numbers and $\sum_{k=1}^j a_{i_k}=n$ ?
| 30 views

0 like 0 dislike
0 like 0 dislike
0 like 0 dislike
0 like 0 dislike
0 like 0 dislike
0 like 0 dislike
0 like 0 dislike
0 like 1 dislike
0 like 0 dislike