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
[tex]\text{So,Total number of possibilities = }6\times 5\times 4=120 [/tex]
Therefore, There are 120 possibilities for the top three positions