SOLUTION: The number of different license plates of the form three digits followed by three letters is 10 · 10 · 10 · 26 · 26 · 26. Write this expression using exponents. Also, Eva

Algebra ->  Exponents -> SOLUTION: The number of different license plates of the form three digits followed by three letters is 10 · 10 · 10 · 26 · 26 · 26. Write this expression using exponents. Also, Eva      Log On


   

Question 1152759: The number of different license plates of the form three digits followed by three letters is
10 · 10 · 10 · 26 · 26 · 26.
Write this expression using exponents.
Also, Evaluate it.
________________________________________
BTW there is a license plate that says: | WB county UTAH 05 |
| |
| 123ABC |
________________________________________
I dont know if thats anyhelp but yeah. Thanks to whoever solves this for me!
Found 3 solutions by MathLover1, MathTherapy, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!


Then choose any letter:

26%2A26%2A26=26%5E3+=+17576

Then choose any digit for each of the other positions:

10%2A+10%2A+10=10%5E3+=+1000

Total number of license plates:

17576%2A1000+=+17576000=> answer
ps: disregard total number of positions in my previous answer

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
The number of different license plates of the form three digits followed by three letters is
10 · 10 · 10 · 26 · 26 · 26.
Write this expression using exponents.
Also, Evaluate it.
________________________________________
BTW there is a license plate that says: | WB county UTAH 05 |
| |
| 123ABC |
________________________________________
I dont know if thats anyhelp but yeah. Thanks to whoever solves this for me!
If 000 can be the 1st 3 digits, then it's exactly as you stated: 10 · 10 · 10 · 26 · 26 · 26

                                                                 103 · 263

                                                                 17,576,000 <==== Number of different license plates.

Answer by ikleyn(52855) About Me  (Show Source):
You can put this solution on YOUR website!
.

Use the solution by the tutor @MathTherapy.   It is correct.


Ignore the solution by @MathLover1.   It is   A B S O L U T E L Y   W R O N G.


Simply ignore it,  for your safety.