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Lecture

MATH 1P98: Permutations and Combinations

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Department
Mathematics
Course
MATH 1P98
Professor
Dot Miners
Semester
Fall

Description
Permutations and Combinations Rent Own 20-39 300 140 440 40-59 125 428 553 60+ 220 287 507 645 955 1500 P(20-39) = 440/1500 P(rent given 40-59) = 125/553 P(60+ and own) = 287/1500 P(40-59 and rent) = 125/1500 P(20-39 given rent) = 300/645 ***SUMMARY of probability rules: pg. 154, problems pg. 155-162 E = event; n = possible outcome Total number of outcomes of m is 1 2n 3n ...m.*n Ex: I have to take 3 math, 2 language, 2 history How many possible timetable? Solution: 3*2*2 = 12 Ex: 6 people sitting to dinner 2 3 4 1 6 5 6*5*4*3*2*1= 6! = 720 possible seating arrangements NOTE: 0! = 1 Ex: 8 people sitting at 6 chairs (permutation) 8! 8! = 2! = 20160 (8−6)! Ex: In selecting a soccer team, 15 people
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