A party is a group chat, the only difference being there's a "leader" (this is the person who started the chat)

In these parties, there can only be 5 maximum users, this includes the leader.

In addition to that, you may only be the leader of a single party at any given moment in time. You can be a member of as many parties which invite you.

Now, if there were $n$ users on this site, and they equally spread out into as many parties as they could (e.g. Every user was in 5 parties), how many parties would coexist on the site at that moment?

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    $\begingroup$ $n$ parties, with each user being the leader of one party? $\endgroup$ – f'' Oct 17 '15 at 3:46

There would just be $n$ parties. Every party has five members, every person is in five parties. $5n/5=n$.

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