Do you have enough friends?

Probability Level pending

Evan thinks he doesn't have enough friends. Can you help him out? Evan's goal is to have 3 friends over every day, all 365 days a year. But Evan does not like to repeat things, so he wants every group of 3 friends to be different. Evan isn't very good at making friends, so he wants to have to least friends possible, but still achieve his goal. What Is the least number of friends Evan can have and still achieve his goal? hint: its not that many


The answer is 15.

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1 solution

Evan Li
Apr 8, 2015

it is pretty simple. In order for Evan to achieve his goal, n choose 3 has to be greater or equal to 365. The smallest one that fits that criteria is 15

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