Answer:
8 units
Step-by-step explanation:
Answer:
(a) 720 ways
(b) 120 ways
(c) 24 ways
Step-by-step explanation:
Given
![Word = DANCER](https://tex.z-dn.net/?f=Word%20%3D%20DANCER)
--- number of letters
Solving (a): Number of arrangements.
We have:
![n =6](https://tex.z-dn.net/?f=n%20%3D6)
So, the number of arrangements is calculated as:
![Total =n!](https://tex.z-dn.net/?f=Total%20%3Dn%21)
This gives:
![Total =6!](https://tex.z-dn.net/?f=Total%20%3D6%21)
This gives:
![Total =6*5*4*3*2*1](https://tex.z-dn.net/?f=Total%20%3D6%2A5%2A4%2A3%2A2%2A1)
![Total =720](https://tex.z-dn.net/?f=Total%20%3D720)
Solving (b): DA as a unit
DA as a unit implies that, we have:
[DA] N C E R
So, we have:
![n = 5](https://tex.z-dn.net/?f=n%20%3D%205)
So, the number of arrangements is calculated as:
![Total =n!](https://tex.z-dn.net/?f=Total%20%3Dn%21)
This gives:
![Total =5!](https://tex.z-dn.net/?f=Total%20%3D5%21)
This gives:
![Total =5*4*3*2*1](https://tex.z-dn.net/?f=Total%20%3D5%2A4%2A3%2A2%2A1)
![Total =120](https://tex.z-dn.net/?f=Total%20%3D120)
Solving (c): NCE as a unit
NCE as a unit implies that, we have:
D A [NCE] R
So, we have:
![n = 4](https://tex.z-dn.net/?f=n%20%3D%204)
So, the number of arrangements is calculated as:
![Total =n!](https://tex.z-dn.net/?f=Total%20%3Dn%21)
This gives:
![Total =4!](https://tex.z-dn.net/?f=Total%20%3D4%21)
This gives:
![Total =4*3*2*1](https://tex.z-dn.net/?f=Total%20%3D4%2A3%2A2%2A1)
![Total =24](https://tex.z-dn.net/?f=Total%20%3D24)
Answer:
x = 3(6 + y)/2
Step-by-step explanation:
Solving for x
Add 3y to both sides.
2x = 18 + 3y
Divide both sides by 2.
x = 18 + 3y/2
Factor out the common term 3.
x = 3(6 + y)/2
Monday: t minutes
Tuesday: t + 15 minutes
Wednesday: t minutes
Thursday: t minutes
Friday: t minutes
Monday+Tuesday+Wednesday+Thursday+Friday= minutes ran
t+t+15+t+t+t=
5t+15 minutes