5. A small monster athletic tournament has n teams, ranked 1 ton.• In the first match, the nth ranked team plays the (n - 1)th ranked team. The loser of thatmatch finishes in last place.• The winner of the first match plays the (n - 2)thranked team. The loser of that match finishes in second to last place.• The winner of the second match goes on to play the (n - 3)th ranked team, and so on.• The last match will pit the previous match winner against the first-ranked team. The winner ofthis last match wins the tournament, and the loser of this last match places second in thetournament.In how many different orders can the n teams finish?Notes:• Count two orders as different if at least one team receives a different finishing position in thetwo orders.• As a quick example, in a tournament with three teams A, B and C, with A ranked first, Branked second and C ranked third, here are the following four possible finishing orders: (A, B,C), (А, С,В), (В, А, С) and (C, A, B).• Note that in this example, A can't finish worse than second place, since A only plays in the lastmatch and is guaranteed to be first or second!

Name: 5. A small monster athletic tournament has n teams, ranked 1 ton.• In
Uploaded: 2024-03-20T07:07:50.000Z
Channel: Bartleby
Description: 5. A small monster athletic tournament has n teams, ranked 1 ton.• In the first match, the nth ranked team plays the (n - 1)th ranked team. The loser of thatmatch finishes in last place.• The winner of the first match plays the (n - 2)thranked team.