STA 2023 Lecture Notes - Lecture 10: English Alphabet, Prussian P 8
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If one event can occur in m ways and a second event can occur in n ways, the number of ways the two events can occur in sequence is m*n. This rule can be extended to any number of events occurring in sequence. Let"s say, you are in a cafeteria line. The pin number for a credit card consists of four digits. Each digit can be any number from 0 to 9. A permutation is an arrangement of n objects in a specific order. The number of different permutations of n distinct objects is n! (n factorial) Example 5- finding permutations: you have five different video games. The arrangement of n objects in a specific order using r objects at a time is called permutation of n objects taking r objects at a time. npr=n!/(n-r)! Example 6: the advertising director for a television show has 7 ads to use on the program.