quiz1AS-M1_f10 - Econ 506, Section M1 Quiz 1A, Sept., 16,...

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Econ 506, Section M1 NAME:_ SOLUTION_ _____ Quiz 1A, Sept., 16, 2010 Total points: 50 I. The names of 3 employees are to be randomly drawn from a bowl containing the names of 30 employees of a small company for a delegation. a) (5 points) in how many ways can three employees be chosen? 4060 3 30 = = r n b) (5 points) In how many ways can the delegation be chosen if two people refuse to go together? We compute 4060 -#(Both are chosen to go together). There is only one way to choose both of them in a combination sense. This leaves us with 28 different ways to pick the remainder member of the committee. Thus, we arrive at our answer of 4060 -28 = 4032. c) (5 points) suppose the person whose name is drawn first wins a prize of $100, and the individuals whose names are drawn second and third win $50 and $25 respectively for taking part in the delegation. In how many ways can the 3 individuals win the prizes? Since the language is not clear we accept both 30. 29. 28 = 24,360 and 3! = 6 as
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quiz1AS-M1_f10 - Econ 506, Section M1 Quiz 1A, Sept., 16,...

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