i) If you have twenty ones and fifteen zeroes how many ways can we arrange these digits such that no two zeroes are adjacent? ii) Show that the number of subsets of a finite set S is 2 |S| iii) [The Birthday Problem] What is the probability that at least one of ten people are born on the same day of the year? [Note: as the number of people increase a surprising result occurs] ** [Hint:
i) If you have twenty ones and fifteen zeroes how many ways can we arrange these digits such that no two zeroes are adjacent? ii) Show that the number of subsets of a finite set S is 2 |S| iii) [The Birthday Problem] What is the probability that at least one of ten people are born on the same day of the year? [Note: as the number of people increase a surprising result occurs] ** [Hint:
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.CR: Chapter Review
Problem 2CC
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