There are 15 married couples in a dressing room. The photographer is tasked to take a picture of each couple outside, but when he peeks into the room he sees that everyone is walking around, talking to other people. There is no way for him to know which partner belongs to each person. At least how many people must he call out of the room so that he is sure that there is at least one married couple present?

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 1CT: Alice and Bill have four grandchildren, and they have three framed pictures of each grandchild. They...
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There are 15 married couples in a dressing room. The photographer is tasked to take a picture of each couple outside, but when he peeks into the room he sees that everyone is walking around, talking to other people. There is no way for him to know which partner belongs to each person. At least how many people must he call out of the room so that he is sure that there is at least one married couple present?
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