LrTrChVIIISIBscCntgPrncplPrm - Dr. Raja Latif. Math...

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Dr. Raja Latif. Math 131(043)8.1, Pg:1 Chapter 8 : Introduction to Probability and Statistics 8 . 1 : Basic Counting Principle and Permutations Basic Counting Principle: . ........... n 1 . n 2 .... n k . Permutation: An ordered arrangement of r objects, without repetition, selected from n distinct objects is called a PERMUTATION of n objects taken r at a time. The number of such permutations is denoted by n P r n n 1  n 2 .......... n r 1 n n 1  n 2 .......... n r 1  n r  n r 1 .... 2  1 n r  n r 1 .... 2  1 n ! n r ! . 1
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Dr. Raja Latif. Math 131(043)8.1, Pg:2 1.404T8.1B6. AUTO ROUTES A person lives in city A and commutes to automobile to city B . There are five roads connecting A and B . a How many routes are possible for a round trip? b How many round-trip routes are possible if a different road is to be used for the return trip? ANS (a)There are 5 roads from A to B , and 5 roads from B to . By the basic counting principle, the number of possible routes for a round trip is 5.5 25. (b)There are 5 possible roads from A to B . Since a different road is to be used for the return trip, there are only 4 possible roads 2
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Dr. Raja Latif. Math 131(043)8.1, Pg:3 from B to A . By the basic counting principle, the number of possible round-trip routes is 5.4 20 . 2.404T8.1B 8 MULTIPLE CHOICE EXAM In how many ways is it possible to answer a six-question multiple-choice examination if each question has four choices (and one choice is selected for each question)? ANS
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This note was uploaded on 12/17/2009 for the course MATH MATH131 taught by Professor Dr.rajalatif during the Spring '09 term at King Fahd University of Petroleum & Minerals.

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LrTrChVIIISIBscCntgPrncplPrm - Dr. Raja Latif. Math...

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