   # 10-digit Number Puzzle?

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Find a 10-digit number where the first digit is how many zeros in the number, the second digit is how many 1s in the number etc. until the tenth digit which is how many 9s in the number. posted Feb 13, 2014

It's 6210001000 answer Feb 13, 2014

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There is a 9 digit number. No digit are repeated and rightmost digit is divisible by 1 and right 2 digits is divisible by 2, right 3 digits is divisible by 3 and so on, finally the whole number is divisible by 9.
Can you find out the number?

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Find a 10 digit number where the first digit is how many 0's in the number.
The second digit is the number of 1's in the number.
The third digit gives the number of 2's
The fourth digit gives the number of 3's in the number so on
until the 10th digit which gives the number of 9's in the number.

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Using the digits 1, 2, 3 and 4, find the number of 10-digit sequences that can be written so that the difference between any two consecutive digits is 1.

Examples of such 10-digit sequences are 1234321232 and 2121212121.