a. In a group of 15 people, is it possible for each person to have exactly 3 friends

Chapter 10, Problem 27

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a. In a group of 15 people, is it possible for each person to have exactly 3 friends? Explain. (Assume that friendship is a symmetric relationship: If x is a friend of y, then y is a friend of x.)

b. In a group of 4 people, is it possible for each person to have exactly 3 friends? Why?

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