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# Need hellp in problem

Posted on 2011-10-21
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License plates in China begin with a Chinese character designating the province, followed by a letter from the set {A,....,Z}, followed by a five character alphanumeric string (using symbols from the set {A,...,Z,0,1,....9}). What is the maximum number of plates of this type for a given Chinese province. ?

I guess
26*
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Question by:mustish1

LVL 73

Expert Comment

26*  ?

what is that supposed to be?  I don't understand your guess.

In any case, this is essentially the same as your previous question.

http://www.experts-exchange.com/Other/Math_Science/Q_27409228.html
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LVL 73

Expert Comment

that is,  multiply the number of possible characters in each postion
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Author Comment

26*3*3
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LVL 4

Accepted Solution

26*35*35*35*35*35 = 1,365,568,750
26 for A-Z
35 for A-Z, 1-9
0

LVL 73

Expert Comment

where is 3 coming from?  And why only 2 of them?  There are 5 positions.

26 is the correct for the first character.

how many characters for the second? multiply that, then how many for the third, multiply that, and so on.

Look at the previous question.  See the pattern?
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LVL 10

Assisted Solution

Number of possible characters per digit raised to the power of the number of digits. 26 letters plus 10 numbers is 36 raised to the 5th power times 26 for the digit that only allows alpha characters.
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LVL 73

Expert Comment

Techn9cian  - no that's not correct   (your math is right, but the answer to this question is wrong)

also, it's clear I was trying to help him understand "how" to do it.

I gave the answer directly last time because he appeared to be on the right track.  In this case the attemp 26*  appears to be just a random guess.  So I'm walking through the logic
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LVL 4

Expert Comment

I didn't see the 0, sorry.
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LVL 73

Expert Comment

mustish1

http:#37008033  and http:#37008079 and http:#37008085  are saying the same thing.

Does it make sense?
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Author Comment

set {A,...,Z,0,1,....9})
A....Z=26+0+9

it should be 36 because of zero. I may be wrong:
26*36*36*36*36*36

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LVL 73

Expert Comment

yes exactly!

26 for the first
36 for each of the following 5

you simply multiply the number available for each position

or in power notation  26*36^5  same thing, just different way of writing it
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Author Comment

How to convert this number into 2 raise to power ?

1572120576
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LVL 73

Expert Comment

that's a different question entirely
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LVL 73

Assisted Solution

easiest way to approximate is simply divide by 2 until you get to 1
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LVL 73

Expert Comment

or you can calculate it directly with any language or calculator that has a LOG or LN function

log(1572120576) / log(2)

ln(1572120576) / ln(2)

some languages may let you specify the base of your log though

if you have one of those, try  log(2,1572120576)
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