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    My approach was to bottom-up fill an array A[i][j]. Where each cell represents the total number of ways you can select i elements from j possibiliities. The answer to the problem would be represented by the cell A[k-1][n-1].

    The solution seems right, nevertheless I get a "Timeout Error" for the testcases 3 & 5. Is there a much more efficient way to solve that problem?