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

SUBMIT

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

the  office resources  are the human, physical and financial  resources  which are utilized for performing all the activities in order to achieve the organizational objectives.

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second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.