There are 91 such ways in whih the volunteers can be assigned if two of them cannot be assigned from 14 volunteers.
Given that a school dance committee has 14 volunteers and each dance requires 3 volunteers at the door, 5 volunteers on the floor and 6 on floaters.
We are required to find the number of ways in which the volunteers can be assigned.
Combinations means finding the ways in which the things can be choosed to make a new thing or to do something else.
n
=n!/r!(n-r)!
Number of ways in which the volunteers can be assigned is equal to the following:
Since 2 have not been assigned so left over volunteers are 14-2=12 volunteers.
Number of ways =14![C_{12}](https://tex.z-dn.net/?f=C_%7B12%7D)
=14!/12!(14-12)!
=14!/12!*2!
=14*13/2*1
=91 ways
Hence there are 91 such ways in whih the volunteers can be assigned if two of them cannot be assigned.
Learn more about combinations at brainly.com/question/11732255
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Answer:
i think that is c but if I'm wrong deduct points
The waitress earns $425 weekly.
Work:
Use proportions.
x 4
------- = ------
4,200 100
4,200 x 4 = 16800
100 multiply x = 100x
16800 divided by 100 = 168
Commission = $168
Base salary = $257
$168 + $257 = $425
Answer: 20x^3 - 23x^2 - 4x + 4
Explanation:
Use distributive property:
(5x-2)(4x^2 - 3x-2)
= 20x^3 - 15x^2 - 10x - 8x^2 + 6x + 4
= 20x^3 - 23x^2 - 4x + 4
Micah was asked to add the following expressions:
![\frac{3x^2-x-9}{x^2+3x+2} + \frac{-2x^2+2x+5}{x^2+3x+2}](https://tex.z-dn.net/?f=%5Cfrac%7B3x%5E2-x-9%7D%7Bx%5E2%2B3x%2B2%7D%20%2B%20%5Cfrac%7B-2x%5E2%2B2x%2B5%7D%7Bx%5E2%2B3x%2B2%7D)
First, he combined like terms in the numerator and kept the common denominator
First step is correct. He added the like terms in the numerator, because the denominators are same.
![3x^2 -x -9 -2x^2+2x+5becomes x^2 +x -4](https://tex.z-dn.net/?f=3x%5E2%20-x%20-9%20-2x%5E2%2B2x%2B5becomes%20x%5E2%20%2Bx%20-4)
So he got , ![\frac{x^2+x-4}{x^2+3x+2}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%2Bx-4%7D%7Bx%5E2%2B3x%2B2%7D)
In the next step, he cannot cancel out x^2 from the top and bottom . Because x-4 and 3x+2 are added with x^2
If we have x^2 is multiplied with other terms at the top and bottom , then we can cancel out x^2.
So Micah added the expression incorrectly. Final answer is not correct.