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License plates

License plates

License plates

(OP)
Here's one I just dreamed up.

CODE

The state of North Carolina, like many US states, issues 'affinity' license plates for cars, where you can show your support for endangered species, sports teams, universities, etc.

They differentiate these from regular plates by putting a logo on them of the aforementioned team, school, animal, etc. They also put a two-letter code on there to identify which affinity plate series it is.  After the image and the code, there's five positions left to make the plate unique within the series.  

The acceptable letters are A-Z, 0-9, plus the usual punctuation marks -- asterisks, spaces, slashes, etc.  Call it 45 possible characters.  (Technically, they use a variable width font, so some of them only take up half a character's width, but we'll ignore that for our purposes and assume they're all equal width)

The question is, assuming every driver in the state wants one, if they charge an extra $30 how much revenue could the state realize from this?

Chip H.

PS: Interesting fact: It doesn't need to be a university located in North Carolina -- I've seen several for Clemson University.  I guess a Tiger's money is as good as that of a Wolfpack fan!

____________________________________________________________________
If you want to get the best response to a question, please read FAQ222-2244: How to get the best answers first

RE: License plates

$30 * the number of licensed vehicles in the state.  While there are a number of possible combinations for the plates, there are a finite number of vehicles (due to number of drivers, but also to economic circumstances, or health circumstances).

RE: License plates

Theoretically speaking

CODE

Total number of affinity types: (262) = 676
Total number of 5 letter sequences:  (455) = 184,528,125
Total number of unique plates:  676 * 184,528,125 = 115,514,606,250
Total Revenue:  115,514,606,250 * 30 = 3,465,438,187,500

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RE: License plates

$0.00 if the money goes to the supported entity :)

CC, why did you square the 26?

Blue Dragon

If I wasn't Blue, I would just be a Dragon...

RE: License plates

==> CC, why did you square the 26?
Because the affinity type is identified with a two-letter code.

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Good Luck
To get the most from your Tek-Tips experience, please read
FAQ181-2886: How can I maximize my chances of getting an answer?
As a circle of light increases so does the circumference of darkness around it. - Albert Einstein

RE: License plates

ah

Blue Dragon

If I wasn't Blue, I would just be a Dragon...

RE: License plates

(OP)
Glen9999 has it --

If you multiply all the possible combinations out, it's several hundred billion possible license plates -- more than the population of the Earth.

So, it's a trick question.
smile

Here are the official rules:
http://www.ncdot.org/dmv/vehicle_services/licenseplates/specializedReq.html#Specialized%20Fees

Note the section at the bottom that describes where the money goes.  Everyone has their hand out, it seems!

Chip H.

____________________________________________________________________
If you want to get the best response to a question, please read FAQ222-2244: How to get the best answers first

RE: License plates

Based on the seemingly vast difference between CC's total number of unique plates and Glenn's finite number of drivers/vehicles in the state I'd suggest dropping a char or 2 per plate.  The production savings could either reduce the cost of all registrations and or improve the amount of the donation.

Sometimes you gotta leave your zone of safety. You have to manufacture Inspirado. You gotta get out of the apartment. You've got to run with the wolves. You've got to dive into the ocean and fight with the sharks. Or just treat yourself to a delicious hot fudge sundae........ with nuts. - Jack Black

RE: License plates

Actually, Glen9999's answer is not correct.  Glen's answer is based on the number of licensed vehicles, but the trick question clearly states that it's based on "one per driver", not "one per car".

--------------
Good Luck
To get the most from your Tek-Tips experience, please read
FAQ181-2886: How can I maximize my chances of getting an answer?
As a circle of light increases so does the circumference of darkness around it. - Albert Einstein

RE: License plates

Of course, the other variable in the question is the time frame, which is not specified; therefore, the number of drivers is not known.  Also, the question does not address the issue of renewals.

--------------
Good Luck
To get the most from your Tek-Tips experience, please read
FAQ181-2886: How can I maximize my chances of getting an answer?
As a circle of light increases so does the circumference of darkness around it. - Albert Einstein

RE: License plates

Furthermore, it doesn't address the question of people willing to pay premium pricing for, say the sequence "JOANA" over that of ".,6fd".  There could be some added profitability in that.

Oh, and then there's the likelihood that there's a waiting list for the Proud to be an American series, and the subscription for the Retired Caboose Operators series just won't fill up.  That might skew things a bit as well.  smile

RE: License plates

There probably needs to be a profanity filter as well.

RE: License plates

Yeah, profane words would be way popular.

RE: License plates

(OP)
There's an automated filter that strips out the obvious ones.

But there's also a couple of people who review tags that people have called in and complained about (An ex-coworker's mom was on the committee for a while).  So they catch the ones where people try and spell words upside down, such as: "773H"

(which is pretty juvenile, but I realize this is the general public we're talking about)

Chip H.

____________________________________________________________________
If you want to get the best response to a question, please read FAQ222-2244: How to get the best answers first

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