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Show that in any group of n people there are two who have an identical number of friends within the group. (Friendship is bi-directional – i.e., if A is a friend of B, then B is a friend of A – and nobody is a friend of themselves.) Solve in particular the following two cases individually:Everyone has at least one friend.

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Show that in any group of n people there are two who have an identical number of friends within the group. (Friendship is bi-directional – i.e., if A is a friend of B, then B is a friend of A – and nobody is a friend of themselves.) Solve in particular the following two cases individually:Everyone has at least one friend.

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