Recall that a Standard Young Tableau of shape A is a Ferrers shape of a permutation A = (1, )2, ..., de) In that is filled with the numbers 1 through n such that the rows increase from left to right and the columns increase from top to bottom. For example, 1 3 6 2 7 4 5 is a Standard Young Tableau for 1 = (3, 2, 1, 1). Find a formula for the number of Standard Young Tableau of shape A = (n, n) for any n E N