   Chapter 8.5, Problem 35ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# The set P ( { w , x , y , z } ) is partially ordered with respect to the “subset” relation ⊆ . Find a chain of respect to the “subset” relation ⊆ . Find a chain of length 4 in P ( { w , x , y , z } ) .

To determine

To find:

The chain having length 4 in P({w,x,y,z}).

Explanation

Given information:

The set P({w,x,y,z}) is partially ordered with respect to the “subset” relation .

Concept used:

A subset B of a set A is called a chain if the elements in each pair of elements in the set B is comparable.

Calculation:

There are 4 elements in the set P({w,x,y,z}).

So, they are 24=16 subsets.

The power set P({w,x,y,z}) contains the subsets as follows.

{ϕ,{w},{x},{y},{w,x},{w,y},{w,z},{x,y},{x,z},{y,z},{w,x,y},{w,y,z},{w

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