Answered: PROBLEM Part 1. The drawing below shows a Hasse diagram for a partial order on the set {A, B, C, D, E, F, G, H, I, J} E Figure 3: A Hasse diagram shows 10… | bartleby

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a) Draw the Hasse diagram for the set of positive integer divisors of the integer n where n is (i) 2 ; (ii) 4 ; (iii) 6 ; (iv) 8 ; (v) 12 ; (vi) 16 ; (vii) 24 ; (viii) 30; (ix) 32 . b) For any 2 ≤n ≤35, show that the Hasse diagram for the set of positive integer divisors of n looks like one of the nine diagrams in part (a). (Ignore the numbers at the vertices and concentrate on the structure given by the vertices and edges.) What happens for n=36 ? c) For n ∈𝐙^ , τ(n)= the number of positive in

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