Answer:
There are 6,840 possible outcomes for these awards.
Step-by-step explanation:
Given that a group of 20 people are going to run a race, and the top three runners earn gold, silver, and bronze medals, to determine how many outcomes are possible for these awards, the following calculation must be performed:
20 x 19 x 18 = X
380 x 18 = X
6.840 = X
Therefore, there are 6,840 possible outcomes for these awards.
Total outcomes that are possible for these awards are 6840 outcomes, calculated using permutation.
Total number of people=20
permutation means the arrangement of items while the combination is all about the selection of some out of many.
let us say start with the gold medal
no of ways a gold medal can be given = ²⁰C₁ = 20
Now, the number of people left is 19
no of ways a silver medal can be given = ¹⁹C₁ = 19
Now, the number of people left is 18
no of ways a bronze medal can be given = ¹⁸C₁ = 18
possibility of total outcomes=20*19*18 = 6840ways
Therefore, total outcomes that are possible for these awards=6840
to get more about permutations and combinations refer to the link,
https://brainly.com/question/4658834
