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Precalculus Chapter 4 Part 4

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Venn diagrams were developed bymathematician John Venn and are used in set theory and symbolic logic
In set theory,the symbol U represents the union of two sets.
A U B corresponds toA or B
The symbol ∩ representsthe intersection of two sets
A ∩ Bcorresponds to A and B
Conditional Probabilitythe probability that an event B occurs after an event A has already occurred.
Fundamental counting ruleThe number of ways a sequence of n events can occur if the first event can occur in k1 ways, the second event can occur in k2 ways, etcs.
Factorial FormulaFor any counting n n!=n(n - 1) (n - 2) ...1 0! = 1
Permutationan arrangement of n objects in a specific order
Permutation RuleThe number of permutations of n objects taking r objects at a time (order is important)
Combinationa selection of distinct objects without regard to order
Combination ruleThe number of combinations of r objects taken from n objects (order is not important)
Factorial notationuses the exclamation point
Three rules to determine the number of all possible outcomes for a sequence of eventsfundamental counting rule, permutation rule, and the combination rule


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