finite math
Terms
undefined, object
copy deck
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subset
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all of whose elements are contained in S- A is a subset of S if every element of A in contained in S
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Set (S)
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collection of items called 'elements'can be a list or a rule/property
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cartesian product
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A x B, set of all ordered pairs where a is an element of A and b is an element of B (multiply)
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complement
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set of elements in U that are not contained in A
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counting elements of a set
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we denote the number of elements in a set by using n(S)
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counting principle for cartesian product
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n(AxB)=n(A) x n(B)multiplication principleA={wheat, pumpernickel, rye}B={turkey, ham}then the set of all possible sandwiches is the cartesian product AxB
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de Morgan's laws
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the complement of A intersect B is equal to the complement of A union Bthe complement of A union B is equal to the complement of A intersect B(can be extended to more than two sdisjoint setsA and B are disjoint if they have no elements in commondistributive laws
- (A intersect B) union C= (A union C) intersect (B union C)
(A union B) intersect C= (A intersect C) union (B intersect C)factorial notation7!= 7 x 6 x 5 x 4 x 3 x 2 x 1(read 7 factorial)0!= 1P(90, 6)= 90x89x88x87x86x85flipping a cointwo possible outcomes (heads or tails)integernegative, zero, or positive whole numberintersectionset of elements contained in both A and Bpartition (addition) principleif a set X is partioned into sets X1 X2 etc, then:n(X)=n(X1)+n(X2).. etcpartition of a setS={0,1,2,3,4,5,6,7,8,9}A={0}B={1,3,5,7,9}C={2,4,6,8}So, A B and C are a partition of Spermutationswhen you want to consider all possible arrangements of a sethow can you arrange ABCD?4 x 3 x 2 x 1 or 4!probabilitymeasure of the likelihood that an event will occurflipping a fair coin: probablity=.5rolling a die: probability= 1/6sample spacethe outcomes of an experiment(form a set)unionset of elements in A, B, or both