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Unformatted text preview: Exam 1 A. Miller Fall 2004 Math 210 Show all work.
Simplify your answers.
Circle your answer. No notes, no books, no calculator, no cell phones, no pagers, no electronic devices. Name Circle your Discussion Section: DIS 343 12:05p T B329 VAN VLECK
DIS 344 12:05p R B321 VAN VLECK
DIS 345 1:20p T 595 VAN HISE
DIS 346 1:20p R 3401 STERLING Points Solutions Will be posted shortly after the exam: www.math.wisc.edu / ~rni11er / m210 Exam 1 A. Miller Fall 2004 Math 210 1. (6 pts) Let U = {1, 2, 3, 4,5, 6} be a universal set with subsets X, Y and Z. Suppose that
XUY = {2,4,6}, X n Y = {2},
Y’nZ’ = {1,3}, and
z' = {1, 3, 4}. Find sets X, Y, and Z which satisfy these conditions. Exam 1 A. Miller Fall 2004 Math 210 2 2. (6 pts) An accounting ﬁrm has partners who are specialists in speciﬁc areas. The areas of
specialization and the number of partners with each specialty are shown below. If every partner
is a specialist in a least one area, how many partners are there? Specialization auditing
consulting
tax auditing and tax
consulting and tax
all three Exam 1 A. Miller Fall 2004 Math 210 3 3. (6 pts) Dorothy is considering the purchase of a new Jupiter 2005 car model 930. The
car comes in one of 7 colors: red, orange, yellow, green, blue, indigo, and violet. There are 3
optional features available: automatic transmission, sun roof, and premium sound system. She
can purchase none of the features, all of the features, or any set of features in between. How
many alternatives are there for her to consider? Exam 1 A. Miller Fall 2004 Math 210 4 4. (6 pts) In a ﬁnite math class 10 percent withdraw, 15 percent receive an A, 5 percent receive
an AB, 20 percent receive a B, 5 percent receive a BC, 30 percent receive a C, 10 percent receive
a D, and 5 percent get an F. (a) What is the probability that a randomly chosen student got a grade of B or better? (b) What is the probability that a randomly chosen student passed the course(i.e. did not
Withdraw and got a D or better)? Exam 1 A. Miller Fall 2004 Math 210 5 5. (6 pts) The kingdom of Mathemagic has 7 aristocrats from which three royal ofﬁcers are to be
selected. The ofﬁces are the Illustrious Incompetent, the Grand PoohBah, and the Floundering
Fool. One of the aristocrats is Count Jocko. Each aristocrat can ﬁll at most one ofﬁce.
(a) In how many ways can the ofﬁces be ﬁlled?
' (b) In how many ways, if Count Jocko must be one of the officers?
(c) In how many ways, so that Count Jocko is not the Grand PoohBah? Exam 1 A. Miller Fall 2004 ' Math 210 6 6. (6 pts) A neighborhood club has 3 girls and 6 boys. A volleyball team of 4 players is to be
selected. . (a) How many teams can be chosen? (b) How many such teams have at least one boy and one girl on them? Exam 1 A. Miller Fall 2004 Math 210 7 7. (6 pts) A congressional committee contain 6 democrats and 7 republicans. One of democrats
is named Max and one of the republicans is named Max. A subcommittee of 5 consisting of 2
democrats and 3 republicans is randomly selected. What is the probability that at least one of the Max’s is chosen? ...
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 Fall '08
 WAINGER
 Math, Randomness, How Many Ways, Initialisms, A. Miller Fall, Grand PoohBah

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