32 33 A set S of nk SI elements is partitioned into k disjoint subsets in two ways: one partition is A {A1,..., Akt, and another partition is Dk where IA Bi n, for 1 S is k. X1 xkl of k elements of S is a representation of A, or a representation of B, when no two elements xi belong to the same Ae, or belong to the same Be, respectively. Show that there is a representation of A that is simultaneously a representation of B CSCI 2511 Discrete Structures Presentation 18