I ran into this problem:
You are choosing 5 teams out of a group of 23 people. You do this by choosing a team lead for each team, and then letting the team leads choose their teams in round-robin fashion. You choose the order in which the round-robin selection goes at random. Each team lead is guaranteed to pick the most-desirable unpicked person each time, and it turns out everyone has the same priorities as to who they would pick, so the competition is likely to be stiff. How many possible outcomes are there? Outcomes are the "same" only if they have exactly the same lead+team arrangements.
I know it has to do with permutations, but I have no idea how to solve it.
Any help will be appreciated