= m2 +1. Let A1, A2,..., An be a family of distinct finite sets of positive integers where Show that there exist at least m +1 of these sets, say Ak, Ak2,..., Akm+1, such that Ak, U Ak, ordered set P...

Extracted text: = m2 +1. Let A1, A2,..., An be a family of distinct finite sets of positive integers where Show that there exist at least m +1 of these sets, say Ak, Ak2,..., Akm+1, such that Ak, U Ak, ordered set P = ({A1, A2, ... , An}, C).) Ak, does not hold for all distinct kr, ks, kt. (Hint: Consider the partially