Answered: v How many elements are in the powerset…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter13: Sequences And Series

Section13.CT: Chapter Test

Problem 10CT

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I need help solving these two subsets for Cartesian Product. For each of the sets below, write out its power set by listing the entire set

v How many elements are in the powerset of N = {1, 2, 3, ... , n} for some n E N?

Expert Solution

Step 1

Power set of a set A contains all the subsets of the set A.

N={1,2,3,............n}

i.e The cardinality(number of elements) of the set N= n

The subsets will be written as-

∅,{1} ,{2},{3},.........{n},{1,2},{1,3},.....................{1,n},{2,3},{2,4}.................{2,n}..............................................{1,2,3}....................{1,2,3,........n}

Thus the subsets of N are formed by taking either 0,1 or 2 or 3 ..........or n number of elements from the given set N.

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