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10-digit Number


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#1 rookie1ja

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Posted 30 March 2007 - 07:31 PM

10-digit Number - Back to the Number Puzzles

* Find a 10-digit number, where the first figure defines the count of zeros in this number, the second figure the count of numeral 1 in this number etc. At the end the tenth numeral character expresses the count of the numeral 9 in this number.
* Find a 10-digit number, where the first numeral character expresses the count of numeral 1 in this number, ..., the tenth numeral the count of zeros in this number.

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#2 Incognitum

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Posted 20 July 2007 - 06:20 PM

I don't understand the question very well. What is a 'count of zeros,' there should only be one zero in this number right?

You can tell me if I've got it right...

We need a ten digit number: XXX-XXX-XXXX

And the value of the first digit gives the placement of the number 0, for example: 5XX-X0X-XXXX.

Is that what you're looking for?
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#3 Incognitum

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Posted 20 July 2007 - 06:33 PM

Oh, I think I understand, you're looking for these numbers?

6210001000

2100010006
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#4 Incognitum

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Posted 20 July 2007 - 06:37 PM

Yes, the part I don't understand is why it was two separate questions. The value of the zeros doesn't change when you change the digit where you count them. That's why I originally thought you were looking for the position of each, because you move the position in the second half of the question.
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#5 rookie1ja

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Posted 20 July 2007 - 08:05 PM

feel free to reword the puzzle to make it more comprehensible
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#6 jailbreak

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Posted 23 July 2007 - 02:23 PM

9000000000
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#7 mdsl

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Posted 23 July 2007 - 06:35 PM

9000000000


so there's nine 0s and zero 9s?
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#8 sanjay_kv

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Posted 24 July 2007 - 01:06 PM

6210001000.

Follow the process of substitution starting with 9000000000.
9000000000 --> 8000000010 --> .... --> 6210001000.
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#9 leo78

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Posted 29 August 2007 - 12:35 AM

Which part of the question said all 10 digit must add up to equal to 10?
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#10 mdsl

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Posted 09 September 2007 - 03:17 PM

Which part of the question said all 10 digit must add up to equal to 10?



Logic says that. If each place value (billions' place through ones' place) is a count of how many times a numeral (0 through 9) appears in the 10 digit number then the sum of the digits will equal 10 because because there are only 10 numerals to be counted.
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