Answered

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The top four teams in a local tournament move onto the playoffs. if 7 teams enter the tournament how many different
combination of teams can make it to the playoffs?

Sagot :

Using the combination formula, it is found that 35 different combination of teams can make it to the playoffs.

What is the combination formula?

[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

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