Using the permutation formula, as the order is important, it is found that the officers can be chosen in 6840 ways.
Each "position" is a different role(president, vice president and secretary), hence the order is important.
<h3>What is the permutation formula?</h3>
The number of possible permutations of x elements from a set of n elements is given by:
![P_{(n,x)} = \frac{n!}{(n-x)!}](https://tex.z-dn.net/?f=P_%7B%28n%2Cx%29%7D%20%3D%20%5Cfrac%7Bn%21%7D%7B%28n-x%29%21%7D)
In this problem, 3 people will be chosen from a set of 20, hence:
![P_{20,3} = \frac{20!}{17!} = 6840](https://tex.z-dn.net/?f=P_%7B20%2C3%7D%20%3D%20%5Cfrac%7B20%21%7D%7B17%21%7D%20%3D%206840)
The officers can be chosen in 6840 ways.
More can be learned about the permutation formula at brainly.com/question/25925367
Answer:
3.006, 3.06, 3.066, 3.6, 10
Step-by-step explanation:
Numbers written in a place-value system are compared left-to-right. If the digits with the same place-value multiplier being compared are the same, then the next digits to the right need to be compared.
The number 10 is the greatest. (None of the others have a digit in the 10s place.)
The number 3.6 is the next greatest. (6 in the tenths place is the largest digit there.)
The number 3.066 follows that, then 3.06.
3.006 is the least.
In order from least to greatest, the numbers are ...
3.006, 3.06, 3.066, 3.6, 10
Why I got 1/5d -x
But I don’t is that did a right way.
The answer is 2.54*10^2 mm
Answer:
Each side of the original square is One-fourth the length of each side of the scale model
Step-by-step explanation:
Given that the square is a scaled copy of a smaller orginal square that was scaled up using a scale factor of 4, it means that the side length of the original square was multiplied by 4 to get the new side lenght of the scaled copy given in the question, which is 8ft.
Let original lenght be x.
x * 4 = 8 ft
4x = 8
x = 8/4 = 2.
Side lenght of the original square = 2 ft
Side of the original square to side of scale model = 2 ft to 8 ft = 2/8 = ¼.
Therefore, the statement that is true is: "Each side of the original square is One-fourth the length of each side of the scale model".