Question

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

Answer 1

120 is the correct option.

Answer 2

Answer:

Therefore, There are 120 possibilities for the top three positions

Step-by-step 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

$\text{So,Total number of possibilities = }6\times 5\times 4=120$

Therefore, There are 120 possibilities for the top three positions