QUESTION 2 (COMBINATORICS)
In a region, there are 20 basketball teams.
a) How many possible final classifications are there in a league made up of 20 teams?
b) The top eight finishers in the league qualify for a playoff, that is, the top eight finishers
play knockout matches after the league. How many possible combinations of 8 teams
can play in the playoffs?
c) On the first day of the playoff there are 4 games on a neutral field (there is no
particular order between the two teams that play a game, neither home nor away).
Given eight teams qualified, How many possible first rounds of the Playoff are there?
d) We are going to count the number of times each team is champion in the next 5 years.
How many possible counts are there (without taking into account what year they win (just
the number of titles in the 5 years)?
! Here we have to show the formula we have used and also the steps to show the
solution.