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=64
y=54
Step-by-step explanation:
3x+4y=24 4(24-4y\3)+3y=22
x=24-4y/3 96-12y\3+3y=22
x=24-4(54)/3
x=-64 96/3-22=3y/3
y=54
Answer:
x 6ryfdrrtfgfyjgtyrddt
Step-by-step explanation:
To see if they are the same number