In California, car license plates have 1 digit, 3 letters, then 3 digits

robcatm

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Hi I need help with my homework I am unsure if they are correct.
1) In California, car license plates are made up of one digit, 3 letters and then 3 digits. for example 3 GTW 832. its not true but assume that all numbers and letters could be used.
A) how many possible license plates are there in California?
I have concluded that 26 letters and 10 numbers = 35 thus making it 37^7 = 7.84641641E10 is this correct?

If so can would the 2nd problem have the similar approach? ,
B) a witness to a crime saw the license plate of the getaway car, she said it started out with 3 TKY. how many cars in California can have this? what percentage of all license plates in California start with 3 tky?
again 26 letters and 10 numbers=35 making this problem 35^4 = 1500625 ? but how would I find the percentage
 
Hi I need help with my homework I am unsure if they are correct.
1) In California, car license plates are made up of one digit, 3 letters and then 3 digits. for example 3 GTW 832. its not true but assume that all numbers and letters could be used.
A) how many possible license plates are there in California?
I have concluded that 26 letters and 10 numbers = 35 thus making it 37^7 = 7.84641641E10 is this correct?

If so can would the 2nd problem have the similar approach? ,
B) a witness to a crime saw the license plate of the getaway car, she said it started out with 3 TKY. how many cars in California can have this? what percentage of all license plates in California start with 3 tky?
again 26 letters and 10 numbers=35 making this problem 35^4 = 1500625 ? but how would I find the percentage

Q1. Think of filling in the 7 places in a number plate: __ __ __ __ __ __ __

The first one has to be a digit (0-9), 10 choices.
The second one has to be a letter , 26 choices, etc.

Using the multiplication principle:

the number of possible number plates is 10 x 26 x 26 x __ x __ x __ x __ . Over to you to finish it.

Q2. This time there are no choices for the first 4 places: 1 x 1 x 1 x 1 x 10 x __ x __ . Over to you.

To find the percentage:

\(\displaystyle \frac{answer to Q2}{answer to Q1} * 100\%\)
 
Hi I need help with my homework I am unsure if they are correct.
1) In California, car license plates are made up of one digit, 3 letters and then 3 digits. for example 3 GTW 832. its not true but assume that all numbers and letters could be used.
A) how many possible license plates are there in California?
I have concluded that 26 letters and 10 numbers = 35 thus making it 37^7 = 7.84641641E10 is this correct?

If so can would the 2nd problem have the similar approach? ,
B) a witness to a crime saw the license plate of the getaway car, she said it started out with 3 TKY. how many cars in California can have this? what percentage of all license plates in California start with 3 tky?
again 26 letters and 10 numbers=35 making this problem 35^4 = 1500625 ? but how would I find the percentage
(A) Other than the fact that 26+10=36, the idea is correct
(B) So, actual
-To start ten characters (digits) = 10
-Next three characters, twenty six letters with replacement = 263
-Last three characters, ten digits with replacement = 103
Total = 10*263*103 = 1.7576 108
So what percentage is 103 of 1.7576 108?
 
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