ABSTRACT
From this matrix, a sum S is generated as follows: pick some element x1 at random, then delete the remaining entries in its corresponding row and column. From the remaining entries, pick a second element x2, and then delete the remaining elements in its row and column, and continue this procedure until the matrix M is exhausted. S is the sum x1 + x2 + …. Will the sum S always be constant no matter how the elements x1, x2 … are chosen? If so, what is the value of this sum?
