Question 10: Let P = (X,

Question 10:<br>Let P = (X, <) be a partially ordered set where X =<br>only if aly.<br>{1,2,3, 4, 6, 9, 12, 24, 36, 72} and r < y in P if and<br>1. Draw the Hasse diagram of P.<br>2. What is the minimum number of chains that you can partition the elements of P into? (i.e. write X as a<br>disjoint union of chains). Explicitly write out your partition.<br>

Extracted text: Question 10: Let P = (X, <) be="" a="" partially="" ordered="" set="" where="" x="only" if="" aly.="" {1,2,3,="" 4,="" 6,="" 9,="" 12,="" 24,="" 36,="" 72}="" and="" r="">< y="" in="" p="" if="" and="" 1.="" draw="" the="" hasse="" diagram="" of="" p.="" 2.="" what="" is="" the="" minimum="" number="" of="" chains="" that="" you="" can="" partition="" the="" elements="" of="" p="" into?="" (i.e.="" write="" x="" as="" a="" disjoint="" union="" of="" chains).="" explicitly="" write="" out="" your="">

Jun 05, 2022

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Question 10: Let P = (X,

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