2014 Fall Team #3
Source:
March 26, 2022
combinatorics
Problem Statement
Suppose that in a group of people, if is friends with , then is friends with . If each of the people draws a graph of the friendships between the other people, we get these graphs, where edges represent
friendships and points represent people.
https://cdn.artofproblemsolving.com/attachments/5/5/7265067f585e3dfe77ba94ac6261b4462cd015.png
If Sue drew the first graph, how many friends does she have?