Author 
Topic 

Copelank
New Member
USA
2 Posts 
Posted  08/26/2007 : 16:11:49

Write a tendigit numeral such that the first digit on the left tells how many zeros there are in the entire numeral, the second digit how many ones, the third digit how many twos, and so on.
I have gotten 01, but cannot figure out where to go from here or if this is even right. Thanks for you time. 


sahsjing
Advanced Member
USA
2399 Posts 
Posted  08/26/2007 : 16:55:11

6210001000 


deff
Junior Member
USA
5 Posts 
Posted  08/27/2007 : 03:53:12

That looks like a unique solution...im too tired right ow, but anyone have any others?
this is interesting. 
Edited by  deff on 08/27/2007 03:57:05 


sahsjing
Advanced Member
USA
2399 Posts 
Posted  08/28/2007 : 18:43:05

It seems to me the solution is unique because you have ten constraints for ten variables. Unless the ten constraints are not independent, you can't have the second solution.
I didn't do internet search when I got the solution above. The basic idea is that the tendigit numeral must contain many zeros. But the link given by David appears to be great! 



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