Math 141 Ch 6 part 1 - Sets and Counting Sets and Set...

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Sets and CountingSets and Set Operations (II.A.1,2)Number of Elements in a Finite Set (II.A.3)Multiplication Principle (II.A.4a,4b)Permutations and Combinations (II.A.4c,4d,4e)
Set TerminologyAsetis a well-defined collection of objects.The objects or members of a set are known as theelementsof the set.There are two ways to write a set:Roster Notation –all elements are listedLike names on a roster.Example: F={1, 2, 3, 4}Example: H={0, 1, 2,…, 100}Set-Builder Notation –a description of the elements in the set is givenDecide whether or not an objects fits the description.
Set EqualityTwo sets areequalif and only if they have exactly the sameelements.Order of the listed elements does not matter!Example:Which of the following sets are equal?A ={a, b, c, d}B ={a, c, d}C={d, c, a, b}R={x|xis a number evenly divisible by 2}S={0, 2, 4, 6}
SubsetsIf every element of a setEis also an element of a setF, thenEis asubsetofF, denoted.

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