There are 120 diplomats at a gala. Every diplomat is either a spy or a civilian. You know that any time two diplomats shake hands, at least one of them is a spy. Assuming at this gala everyone shakes hands with everyone else, how many civilians are in attendance?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 40CT: There are 10 applicants for three sales positions at a department store. All of the applicants are...
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There are 120 diplomats at a gala. Every diplomat is either a spy or a civilian. You know that any time two diplomats shake hands, at least one of them is a spy. Assuming at this gala everyone shakes hands with everyone else, how many civilians are in attendance?

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