There are 8 teams participating in the competition, and the elimination system as shown in the figure is adopted. Q: How many substantially different schedules can you get by drawing lots before the c

There are 8 teams participating in the competition, and the elimination system as shown in the figure is adopted. Q: How many substantially different schedules can you get by drawing lots before the competition? In fact, it can be seen as eight people standing in a row and two people in a group. How many ways are there to queue up?

If the grouping problem is not considered, there should be a P (8,8) arrangement for eight people queuing.

However, considering pairing, (a, B)(B, a) is actually a way to take sides (that is, these two people compete), so it is actually 2.4 repetitions, and 2. 1 repetition is found after deciding the top four.

Therefore, a * * * should have p (8 8,8) ÷ 2 7 = 315.