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# MAT521-2007Fall - MAT 521 Fall 2007 Final Exam Name This is...

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MAT 521, Fall 2007, Final Exam Name: ______________________ _ This is a closed book, closed notes exam. You must show appropriate work to receive credit, and simplify your answers except in the case of II counting" problems. Keep your answers exact! Problem Points Score 1 20 2 10 i 3 20 4 10 5 15 6 15 7 10 Total 100 I 1

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1. (a) When buying coca cola from a new type of machine a customer must make selections in each of the following categories: • calories: regular or diet • caffeine: regular or extra • flavor: regular, lime, lemon, raspberry, vanilla • container: can, plastic bottle, glass bottle How many different versions of coca cola must the machine offer? (b) A box contains 10 light bulbs of which three are defective. If one person selects 6 bulbs from the box in a random manner, and a second person then takes the remaining 4 bulbs, what is the probability that all three defective bulbs will be obtained by the same person? 2
(c) Six balls are dropped at random into 10 boxes. What is the probability that no box will contain two or more balls?

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MAT521-2007Fall - MAT 521 Fall 2007 Final Exam Name This is...

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