The answer is k=8 (4,6/8,7/12,8)
Using the permutation formula, it is found that the people can be chosen for the roles in 6840 ways.
The order in which the people are chosen is important, as there are different roles, hence the <em>permutation formula</em> is used.
<h3>What is the permutation formula?</h3>
The number of possible permutations of <u>x elements from a set of n elements</u> is given by:

In this problem, 3 people will be chosen from a set of 20 people, hence the number of ways is given by:

More can be learned about the permutation formula at brainly.com/question/25925367
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Answer:
A = 314 inches^2
Step-by-step explanation:
We know the diameter of the glass. We need to find the radius
d = 2r
20 = 2r
Divide each side by 2
20/2 = 2r/2
10 =r
To find the area of the glass
A = pi r^2
A = pi * 10^2
A = pi*100
A = 100 *(3.14)
= 314 in^2
The right answer is B.
The first step to answering this question is combining all like terms.
A. 2x + 2 + 2x + 3x - 8
The like terms in this expression are the x terms and the constants
So, what you would do is combine all of the x terms and combine all of the constants
(2x + 2x +3x) + (2 - 8)
7x - 6
B. 4 + 7x - 2
In this expression, you would combine all of the constants
7x + (4 - 2)
7x + 2
C. -2 + 5x + 2x - 4
For this expression, you would again, combine all of the x terms and all of the constants.
-2 + 5x + 2x - 4
(5x + 2x) + (-2 - 4)
7x - 6
D. 8x - x - 6
For this expression, you would combine all of the x terms
8x - x - 6
(8x - x) - 6
7x - 6
Now let's look at all of the new answer choices:
A. 7x - 6
B. 7x + 2
C. 7x - 6
D. 7x - 6
The question is asking you to find the one expression that's different. The only different one is B, so that's the answer.
Answer:
The answer is...12.
Step-by-step explanation: