a. Suppose that we have a class with 30 students. Prove that at least two students will have been born in the same calendar month. b. Assume that there are 365 days in a year. What is the minimum number of students we would need to assemble in order to have at least 3 students with the same birthday?

Algebra and Trigonometry (MindTap Course List)
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ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
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a. Suppose that we have a class with 30 students. Prove that at least two students will have been born in the same calendar month.
b. Assume that there are 365 days in a year. What is the minimum number of students we would need to assemble in order to have at least 3 students with the same
birthday?
Transcribed Image Text:a. Suppose that we have a class with 30 students. Prove that at least two students will have been born in the same calendar month. b. Assume that there are 365 days in a year. What is the minimum number of students we would need to assemble in order to have at least 3 students with the same birthday?
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