Answer:
a) Permutation, because the coach has to designate an order in which they will take penalty
b) There are 55,440 different ways for the coach to do this.
Step-by-step explanation:
It the order is not important, we have a combination.
If the order is important, we have a permutation.
In this question:
5 players from a set of 11 and designate an order.
This means that the order is important, and we have a permutation.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
![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)
(a) Is this a permutation or a combination? Why?
Permutation, because the coach has to designate an order in which they will take penalty
(b) How many different ways are there for the coach to do this?
![P_{(11,5)} = \frac{11!}{(11-5)!} = 55440](https://tex.z-dn.net/?f=P_%7B%2811%2C5%29%7D%20%3D%20%5Cfrac%7B11%21%7D%7B%2811-5%29%21%7D%20%3D%2055440)
There are 55,440 different ways for the coach to do this.
![\huge{\boxed{-8n-4}}](https://tex.z-dn.net/?f=%5Chuge%7B%5Cboxed%7B-8n-4%7D%7D)
There is no way to solve for
, but we can simplify the expression.
![-2(n+2)-6n](https://tex.z-dn.net/?f=-2%28n%2B2%29-6n)
Distribute the
to the
.
![-2n-4-6n](https://tex.z-dn.net/?f=-2n-4-6n)
Combine the like terms.
![\boxed{-8n-4}](https://tex.z-dn.net/?f=%5Cboxed%7B-8n-4%7D)
We cannot simplify further, so this is the answer.
Answer:
10
Step-by-step explanation:
We need to solve the equation . The equation is z
→ 60 = 70 - h
- Subtracting 70 both sides .
→ 60 - 70 = 70 - h - 70
→ -10 = -h
- Dividing both sides by -1 .
→ -h/-1 = -10/-1
→ h = 10
<h3>
• Hence the value of h is 10 .</h3>
81.64
This will be your answer
Answer:
It would be $2 per piece, because 16 divided by 8 is two.
Step-by-step explanation: