Using the combination formula, it is found that 35 different combination of teams can make it to the playoffs.
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 4 students are taken from a set of 7, hence the number of combinations is given by:
[tex]C_{7,4} = \frac{7!}{4!3!} = 35[/tex]
More can be learned about the combination formula at https://brainly.com/question/25821700
#SPJ1
