Can you solve all these questions below?

Write a contrapositive proof of this proposition: If m / n is a positive integer, then m >= n For an inductive proof of the proposition P(n): 1*1 ! + 2*2! + + (n-1)*(n-1). = n!-1 for all positive integers, n > 1 (a) Write the basis step (hint: start at 2, since n > 1) (b) Write the Inductive Hypothesis (c) Complete the proof For an inductive proof of the P(n): nn >= n! for all positive integers, n (a) Write the basis step (b) Write the Inductive Hypothesis (c) Complete the proof