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Math / Discrete Mathematics 1 / Chapter 2 / Problem 18

Discrete Mathematics | 1st Edition | ISBN: 9781577667308 | Authors: Gary Chartrand, Ping Zhang

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Let S = {1, 2, . . . , 10}. Give an example of(a) a set A of cardinality 2 such that A

Chapter 2, Problem 18

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QUESTION:

Let S = {1, 2, . . . , 10}. Give an example of(a) a set A of cardinality 2 such that A P(S).(b) a set B of cardinality 2 such that B P(S).(c) a partition P of S such that |P| = 2.1

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QUESTION:

Let S = {1, 2, . . . , 10}. Give an example of(a) a set A of cardinality 2 such that A P(S).(b) a set B of cardinality 2 such that B P(S).(c) a partition P of S such that |P| = 2.1

ANSWER:

Problem 18

Let . Give an example of

a. a set of cardinality 2 such that .

b. a set of cardinality 2 such that .

c. a partition of such that .

Step By Step Solutions

Step 1 of 4

Given . There for the power set of , will contain elements (as there are 10 elements in .)

.

Cardinality of a set is the number of elements in and is denoted by .

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