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Math 141 Ch 6 part 1

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

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Sets and Counting Sets 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)
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Set Terminology A set is a well-defined collection of objects. The objects or members of a set are known as the elements of the set. There are two ways to write a set: Roster Notation – all elements are listed Like 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 given Decide whether or not an objects fits the description.
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Set Equality Two sets are equal if and only if they have exactly the same elements. 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 | x is a number evenly divisible by 2} S ={0, 2, 4, 6}
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Subsets If every element of a set E is also an element of a set F , then E is a subset of F , denoted .
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