Exam 3 review - Review Test#3 1...

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Review M118 Finite Mathmatics Name ____________________ Test # 3 1) A coin that can turn up either heads (H) or tails (T) is flipped. If a head turns up on the first toss, a spinner that can land on any of the first seven natural numbers is spun. If a tail turns up, the coin is flipped a second time. What are the different possible outcomes? 2) How many nine - digit ZIP code numbers are possible if the first digit cannot be a four and adjacent digits cannot be the same? 3) A person purchasing a new car has several options: 6 interior color choices, 5 exterior color choices, 2 choices of radios, and 5 choices of body styles. How many different cars are possible if one choice is made for each option? 4) A group of 10 people consists of 5 men and 5 women. A committee of 4 is chosen from this group. What is the probability that one or more of the committee members is a man? 5) A survey of 325 residents in a certain town indicates 170 own a dehumidifier, 130 own a snow blower, and 80 do not own either. a) How many own a dehumidifier or a snow blower? _________________________ b) How many own a snow blower but not a dehumidifier? ____________________ c) How many own both a snow blower and a dehumidifier? _____________________ 6) How many 4 - person subcommittees are possible from a group of 9 people if: a) There are no restrictions? _________________________________ b) Both Jim and Mary must be on the committee? ________________ c) Either Jim or Mary (but not both) must be on the committee? _________________ 7) A software development department consists of 6 women and 4 men. A) How many ways can they select a chief programmer, a backup programmer, and a programmer librarian? _______________________________________ B) If the positions in part A are selected randomly, what is the probability that women are selected for all 3 positions? _______________________________ C) How many ways can they select a team of 3 programmers to work on a project?
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