a) The numbers 1,2,...,49 are arranged in a square table as follows:https://cdn.artofproblemsolving.com/attachments/5/0/c2e350a6ad0ebb8c728affe0ebb70783baf913.pngAmong these numbers we select an arbitrary number and delete from the table the row and the column which contain this number. We do the same with the remaining table of 36 numbers, etc., 7 times. Find the sum of the numbers selected.b) The numbers 1,2,...,k2 are arranged in a square table as follows:https://cdn.artofproblemsolving.com/attachments/2/d/28d60518952c3acddc303e427483211c42cd4a.pngAmong these numbers we select an arbitrary number and delete from the table the row and the column which contain this number. We do the same with the remaining table of (kā1)2 numbers, etc., k times. Find the sum of the numbers selected. square tableSumcombinatoricsalgebra