3. Three men and three women were nominated for THREE positions on the school board. Suppose the three male are named A, B, and C, and the female are named D, E, and F. Further, suppose that the following statements are true: • There should be at least one male and at least one female to be selected; • If A won a position, so did D; . If neither C nor F won a position, then E did not win a position; If A did not win a position, then both D and E won positions; • C cannot be the only male candidate to be selected; Either E or F (or both) would win a position. There is only one way to choose three candidates to satisfy all criteria above. Please find that way and justify it to be the only valid choice.

3. Three men and three women were nominated for THREE positions on the school board. Suppose the three male are named A, B, and C, and the female are named D, E, and F. Further, suppose that the following statements are true: • There should be at least one male and at least one female to be selected; • If A won a position, so did D; . If neither C nor F won a position, then E did not win a position; If A did not win a position, then both D and E won positions; • C cannot be the only male candidate to be selected; Either E or F (or both) would win a position. There is only one way to choose three candidates to satisfy all criteria above. Please find that way and justify it to be the only valid choice.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.CT: Chapter Test

Problem 2CT: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert, and a drink....

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