Question

2. There are 12 high schools competing in a basketball tournament. In how many ways can the teams be placed

(1º, 2nd, .., 12th) at the end of the tournament?

Answer 1

The teams can be placed in 479,001,600 ways.

Explanation:

To solve this question, we want to know in how many ways 12 elements can be arranged.

Number of possible arrangements of x elements:

The number of possible arrangments of x elements is given by:

`A_(x) = x!`

In this question:

12 teams, so arrangment of 12 elements.

`A_(12) = 12! = 479001600`

The teams can be placed in 479,001,600 ways.