Respuesta :
There are 120 possibilities for the top three positions. This problem can be easily solved through permutation.
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
total possibilities = [tex]6 \times 5 \times 4[/tex]
total possibilities = 120
What is permutation?
- A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order.
- The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."
- Contrasted with combinations, which are selections of a few members of a set independent of order, are permutations.
To learn more about permutation with the given link
https://brainly.com/question/1216161
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