number theory

Number Theory Level 2

Can you find a seven digit number which describes itself. The first digit is the number of zeros in the number. The second digit is the number of ones in the number, etc. For example, in the number 21200, there are 2 zeros, 1 one, 2 twos, 0 threes and 0 fours.


The answer is 3211000.

Akash Dhasmana by akash dhasmana , 20, India

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3 solutions

Subham Shît
Oct 16, 2014

Its a logical thinking.... 3211000

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Pushpesh Kumar
Oct 6, 2014

I logically guessed the correct answer. 3211000

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Indulal Gopal
Oct 4, 2014

The solution is easy. 3211000

0 Helpful 0 Interesting 0 Brilliant 0 Confused

I want to modify this question. Find all self describing numbers on 'n' digits where 'n' varies from 4 to 9.

For example for n=4, the self describing number is 1210

indulal gopal - 6 years, 8 months ago

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Is there any method to find the answer of these type of questions? If there is, then please tell me?

PUSHPESH KUMAR - 6 years, 8 months ago

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