Question

Six teammates are competing for first, second, and third place in a race.

How many possibilities are there for the top three positions?

Answer 1

120 is the correct option.

Answer 2

Therefore, There are 120 possibilities for the top three positions

Explanation:

Given that : Six teammates are competing for first, second, and third place in a race.

Total number of teammates in the team = 6

Total number of positions offered for winning in the competition = 3 ( first, second, and third place)

Now, we need to find the number of possibilities for the top three positions

Possibility for 1st position = 6

Possibility for 2nd position = 5

Possibility for 3rd position = 4

`\text{So,Total number of possibilities = }6* 5* 4=120`

Therefore, There are 120 possibilities for the top three positions