Write definitions for the following:

a. Exhaustive Part Decomposition

b. Part Partition

c. Part wise Disjoint

These should he analogous to the definitions for Exhaustive Decomposition, Partition, and Disjoint. Is it the case that Part Partition (s, Bunch Of(s))? If so, prove it; if not, give a counterexample and define sufficient conditions under which it does hold.