viiiprbfm - MATH 131 (062) Finite Mathematics. Chapter 8:...

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MATH 131 (062) Finite Mathematics. Chapter 8: Probability. June 3, 2007. Dr. Raja Latif and Mohammad latif and Abdul Latif and Dr. Raja Mohammad Abdul Latif Contents 8.1-2:Basic Counting Principle and Permuta- tions;Combinations and Other Counting Principle Example .360TAN9. Health-Care Plan Options: A new state employee is o f ered a choice of ten basic health plans, three dental plans, and two vision care plans. How many di f erent health care plans are there to choose from each category? Solution . By the multiplication principle, we see that the number of ways a health-care plan be selected is (10) (3) (2) = 60. Example .360TAN10.Code Words: How many three code words can be constructed from the f rst ten letters of the Greek alphabet if no repetitions are allowed? Solution . Using the multiplication principle, we see that the number of three-letter code words that can be formed is (10) (9) (8) = 720 , or 720 ways. Example .360TAN11. Social Security Number: A so- cial security number has nine digits. How many Social Security numbers are possible? Solution .10 9 =1 , 000 , 000 , 000 . Example .360TAN12. Serial Numbers: Computers manufactured by a certain company have a serial num- ber consisting of a letter of the alphabet followed by a four-digit number. If all the serial numbers of this type have been used, how many sets have already been manu- factured? Solution . The number of sets that have already been manufactured is (26) (10) (10) (10) (10) = 260 , 000 . Example .360TAN14. Automobile Selection: An au- tomobile manufacturer has three di f erent subcompact cars in the line. Customers selecting one of these cars have a choice of three engine sizes, four body styles, and three color schemes. How many di f erent selections can a cus- tomer make? Solution . The number of selections a customer can make is (3)(3)(4)(3) = 108 . Example .360TAN17. ATM CARDS: To gain access to his account, a customer using an automatic teller ma- chine (ATM) must enter a four-digit code. If repetition of the same four digits is not allowed (for example, 5555), How many combinations are there? Solution . The number of di f erent selections is (10) (10) (10) (10) 10 = 10000 10 = 9990 . Example .360TAN19. Licence Plate Numbers: Over the years the state of California has used di f erent combi- nations of letters of the alphabet and digits on its auto- mobile licence plates. ( a ) At one time, licence plates were issued that con- sisted of three letters followed by three digits. How many di f erent licence plates can be issued under this arrange- ment? ( b ) Later on, licence plates were issued that consisted of three digits followed by three letters. How many di f er- ent licence plates can be issued under this arrangement? Solution
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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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viiiprbfm - MATH 131 (062) Finite Mathematics. Chapter 8:...

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