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The Land of Zog

Math brain teasers require computations to solve.


Puzzle ID:#199
Fun:*** (2.6)
Difficulty:** (1.81)
Submitted By:Phyllis*****!
Corrected By:MarcM1098




In the small country of Zog, each person owns one and only one car. Every car's license plate is different and each one contains only one letter and one one-digit number including zero. How many people live in the land of Zog, assuming every license plate is used?

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Oct 02, 2001

What am I missing? Ten license plates per letter = 260 plates, not 520??
(user deleted)
Nov 20, 2001

no mention was made that all numbers are used there could be only ten people in the whole country
Mar 11, 2002

The problem does not state that the number or letter must always come first, so "A1" and "1A" are two different valid plates. Thus, the answer is twice 260, or 520. The answer is correct.
Dec 13, 2003

This one is simple enough, but it got me. The answer is 520 because the plates could be either Z1 or 1Z. 260 letter-number, 260 number-letter.
Jul 02, 2004

It is 520 because the order of the number and letter can be different in two ways, which means there are double 260 ways. (I thought 260 at first also)
Jul 13, 2004

The question should be changed to:
"What is the maximum number of persons that can live in the land of Zog"
otherwise there could be even fewer than the ten persons mentioned in the comment by petera.
Jul 13, 2004

Even with the question changed, there are many difficulties remaining.
The Zog authorities consulted me when the population reached 519, and they were appaled by the prospect of having to put someone to death if two more babies were born without someone dying first.
The obvious solution of adding more letters or digits was ruled out (at least for the next 100 years) by the Zog Constitution, which can only be amended by the unanimous vote of five generations of citizens.
Sending the excess persons into exile was not a solution either, because Zog is surrounded by hostile countries which kill any Zogger who dares to be in, above, or below their territory.
Nevertheless I came up with a solution that would enable Zog to have 818812800 different license plates, while respecting the constitutional requirement of one and only one letter of the 26-letter Roman alphabet and one and only one digit of the decimal system.
Jul 13, 2004

See the official
May 25, 2005

Nov 09, 2005

never even bothered
Nov 30, 2005

think it should be changed to what is the maximum number.
Jan 27, 2006

very clever and witty, thanks
Feb 20, 2006

Feb 21, 2006

Think through your brain teasers before you submit them please ( it was a decent teaser though
Mar 07, 2006

yaaa! I got a Math question correct. Great teaser
Mar 19, 2006

Great teaser!
But i have one problem with it.
All the different license plates don't have to be used!
But anyway if you assume all of them must, it's an excellent teaser!
Mar 25, 2006

I forgot about the part where you can switch the order so I only got 260...
Apr 03, 2006

LOL i only did 1st part meh oh well great teaser by the way LOL
Apr 03, 2006

i don't care wat any1 else thinx. i thought it was a GREAT teaser!!!!!!!!!!!!!!!!!!!!!
Apr 05, 2006

ditto petera
you never said every single possible license plate number was taken up
May 19, 2006

The last line clearly says that every licence plate is used so i dont know what comments are complaining about unless the last line is added only recently
May 21, 2006

yeah, it is
now i like it, good job!
May 27, 2006

I thought the question was clear, and cleverly worded! Got the answer too!
Aug 13, 2006

cool i do 3-unit maths so pretty easy good one
Aug 20, 2006

that was pretty easy, i got it. and i think you did a great job with the wording of your question.
Dec 11, 2006

Zoash bla bla bla....what the...

i dont get it, what is "Zog"
Mar 12, 2007

Ug, you silly peoples! The teaser very plainly said "if ALL of the license plates are used" read the teasers before you trash them.
Apr 22, 2007

Doh! I missed the number zero! Otherwise, I got it right!
May 18, 2007

too bad for the 4 people who has 0-O and O-0 plates and I-1 and 1-I plates.
imagine all the confusion!
Jan 28, 2009

The rating on this is ridiculous.

1.84 difficulty???
2.64 fun???

You've got to be kidding! This is so brain-dead simple it isn't even a teaser! Wake up those brain cells people!

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