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quiz1AS-M_f10 - Econ 506 Section M Quiz 1A Sept 16 2010...

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Econ 506, Section M NAME:_ SOLUTION_ _____ Quiz 1A, Sept., 16, 2010 Total points: 50 I. A delegation of three is to be chosen from the untenured faculty of the UIUC Economics Department (numbering ten) to represent the department in an Institute-wide committee. a) (5 points) In how many ways can the delegation be chosen? 120 3 10 = = r n b) (5 points) in how many ways can the delegation be chosen if two people refuse to go together? We compute 120 -#(Both are chosen to go together). There is only one way to choose both of them in a combination sense. This leaves us with 8 different ways to pick the remainder member of the committee. Thus, we arrive at our answer of 120 -8 = 112. c) (5 points) if the three faculty members are selected to positions such as the President, Vice-President, and Secretary of the delegation, in how many ways can the delegation be chosen? 10 . 9. 8 = 720 II. (10 points) suppose 50% of population is male and 50% is female. Suppose that five percent of men and 0.25 percent of women are color blind. A colorblind person is chosen
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