Question 10: Let P = (X, <) be a partially ordered set where X = {1,2,3, 4,6, 9, 12, 24, 36, 72} and ar

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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 partition.
Transcribed Image 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 partition.
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