3. At a 12-week conference in mathematics, Sharon met seven of her friends from college.During the conference she met each friend at lunch 35 times, every pair of them 16 times, everytrio eight times, every foursome four times, each set of five twice, and each set of six once, butnever all seven at once. If she had lunch every day during the 84 days of the conference, did sheever have lunch alone?
3. At a 12-week conference in mathematics, Sharon met seven of her friends from college.During the conference she met each friend at lunch 35 times, every pair of them 16 times, everytrio eight times, every foursome four times, each set of five twice, and each set of six once, butnever all seven at once. If she had lunch every day during the 84 days of the conference, did sheever have lunch alone?
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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3. At a 12-week conference in mathematics, Sharon met seven of her friends from college.
During the conference she met each friend at lunch 35 times, every pair of them 16 times, every
trio eight times, every foursome four times, each set of five twice, and each set of six once, but
never all seven at once. If she had lunch every day during the 84 days of the conference, did she
ever have lunch alone?
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