Suppose thatA = {a1,a2, . . . ,alo |a E N,a,

Suppose that A {al, a,-2, ... ,a10 1 e N,ai < 50} Show that A must have at least 2 subsets, the sums of whose entries must be the same. (Hint: How many subsets does A have, and how many different numbers are possible for the sums of the entries of a subset?) Define the following graph G = (V,E). V {n e N Ins 10} Define the edge set as: m, n E 31(m + n) i) (6 points) Draw a labeled diagram of this graph. ii) (2 points) Prove this graph is not bipartite.