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jean143965
22.05.2020 •
Mathematics
At a competition with 6 runners, medals are awarded for first, second, and
third places. Each of the 3 medals is different. How many ways are there to
award the medals?
Decide if this is a permutation or a combination, and find the number of ways
to award the medals.
O
A. Permutation; number of ways = 20
O
O
B. Combination; number of ways = 20
C. Permutation; number of ways = 120
O
D. Combination; number of ways = 120
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Ответ:
C. Permutation; number of ways = 120
Step-by-step explanation:
The order in which the runners finish is important. For example, A,B,C means that A will be awarded the 1st place medal, B the 2nd and C the 3rd. B,A,C means that B is awarded the 1st place medal, A the 2nd and C the 3rd. So we use the permutations formula to solve this question. That is, this is a permutation.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
In this question:
3 medals to 6 runners. So
So the correct answer is:
C. Permutation; number of ways = 120
Ответ:
468
Step-by-step explanation: