Fix an integer n > 2 and consider the set P = {1, 2, .. , n}. Define a partial order


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Fix an integer n > 2 and consider the set P = {1, 2, .. , n}. Define a partial order < on<br>P such that for distinct x, y E P, x < y if and only if x =1 and y = 2.<br>Find the<br>number of linear extensions of P.<br>Prove that your answer is correct (feel free to<br>invoke results from the textbook to support your argument).<br>

Extracted text: Fix an integer n > 2 and consider the set P = {1, 2, .. , n}. Define a partial order < on="" p="" such="" that="" for="" distinct="" x,="" y="" e="" p,="" x="">< y="" if="" and="" only="" if="" x="1" and="" y="2." find="" the="" number="" of="" linear="" extensions="" of="" p.="" prove="" that="" your="" answer="" is="" correct="" (feel="" free="" to="" invoke="" results="" from="" the="" textbook="" to="" support="" your="">

Jun 10, 2022
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