Suppose you have a group of at least two people. For each pair of
people either the two people are friends or they are not. Is it
possible for every person to have a different number of friends? You
must either demonstrate that it is impossible or show at least one
group in which each person does have a different number of friends.
We assume that a person cannot be their own friend.
Send your answer to mathstat@uoguelph.ca
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