Use python programming language to solve it

Instructions: Complete the writing assignment on a separate sheet of paper. Be sure to type up your project. Your write-up should be no longer than a page and a half A partition of a positive integer n is a way to write n as a sum of positive integers where the order of the terms in the sum does not matter. For example, 6 = 3 + 2 + 1 is a partition of 6, Let Pm equal the number of different partitions of m, and let p express m as the sum of positive integers not exceeding n pmn be the number of different 1. Explain why m-Pm,m 2. It is known that ifm=1 If m