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## Discrete Chapter 2.3-2.4

by: Kaleigh Kelley

30

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# Discrete Chapter 2.3-2.4 MATH174

Kaleigh Kelley

GPA 3.8

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These are two short sections of Chapter 2 essential to know for our upcoming test. They cover Cartesian Products and Partition.
COURSE
Discrete Mathematics
PROF.
Chris Woodard
TYPE
Class Notes
PAGES
1
WORDS
CONCEPTS
Discrete math
KARMA
25 ?

## Popular in Mathematics (M)

This 1 page Class Notes was uploaded by Kaleigh Kelley on Friday February 12, 2016. The Class Notes belongs to MATH174 at University of South Carolina Upstate taught by Chris Woodard in Winter 2016. Since its upload, it has received 30 views. For similar materials see Discrete Mathematics in Mathematics (M) at University of South Carolina Upstate.

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Date Created: 02/12/16
CHAPTER 2.3- CARTESIAN PRODUCTS OF SETS  The Cartesian product of A and B is A x B o A x B= {(a,b): a € A and b € B} o (a,b) is an ordered pair Example: A = {1,2} B= {x,y} A X B= {(1,x), (1,y), (2,x), (2,y)  The cardinality is 4  If |A| =m and |B| = n then |AxB|= m*n o Options of A multiplied by options of B give us the cardinality of the Cartesian product CHAPTER 2.4- PARTITION  Partition- a partition of a non-empty set A is a collection of nonempty subsets of A such that every element of A belongs to exactly one of the subsets o A={1,2,3,4,5} P={S S , S 1,=2{ 3 {1,2} {3,4} {5}}  S 1{1,2} S ={2,4} S ={5}3  Every set is a subset of itself

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