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MAD 1100 Fall 11 Ref: 84698 Mr. Guillen Review for Exam 2 Exam 2 will be on 10/20/11 and covers the following sections: 3.2, 3.3, 4.1, 4.2, 4.3, 4.4. Solve the problem. 1) Suppose there are 6 roads connecting town A to town B and 4 roads connecting town B to town C. In how many ways can a person travel from A to C via B? 1) 2) How many 5 - digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if repetitions of digits are allowed? 2) 3) How many 5 - digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetitions are not allowed? 3) 4) How many 3 - digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetitions are not allowed? 4) 5) How many 4 - digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if repetitions of digits are allowed? 5) 6) How many 3 - digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetitions are not allowed? 6) 7) License plates are made using 2 letters followed by 3 digits. How many plates can be made if repetition of letters and digits is allowed? 7) 8) License plates are made using 2 letters followed by 2 digits. How many plates can be made if repetition of letters and digits is allowed? 8) 9) At a lumber company that sold shelves, a customer could choose from 3 types of wood, 3 different widths and 4 different lengths. How many different types of shelves could be ordered? 9) 10) How many different three - digit numbers can be written using digits from the set {1, 2, 3, 4, 5} without any repeating digits? 10) 11) A license plate is to consist of 2 letters followed by 4 digits. Determine the number of different license plates possible if repetition of letters and numbers is not permitted. 11) 12) A license plate is to consist of 2 letters followed by 3 digits. Determine the number of different license plates possible if repetition of letters and numbers is not permitted. 12) 13) A license plate is to consist of 3 letters followed by 4 digits. Determine the number of different license plates possible if the first letter must be an N , M , or P and repetition of letters and numbers is not permitted. 13) 14) A license plate is to consist of 3 letters followed by 5 digits. Determine the number of different license plates possible if the first letter must be an N , M , or P and repetition of letters and numbers is not permitted. 14)

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Evaluate the expression. 15) 12 P 5 15) 16) 7 P 0 16) 17) 10 P 5 17) 18) 13 P 4 18) 19) 9 P 3 19) 20) 7 P 2 20) 21) 14 P 12 21) An order of award presentations has been devised for seven people: Jeff, Karen, Lyle, Maria, Norm, Olivia, and Paul. 22) In how many ways can the people be presented? 22) Suppose a traveler wanted to visit a museum, an art gallery, and the state capitol building. 45 - minute tours are offered at each attraction hourly from 10 a.m. through 3 p.m. (6 different hours). Solve the problem, disregarding travel time . 23) In how many ways can the traveler visit all three places in one day?
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