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 creating a 10 digit numeral
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Copelank
New Member

USA
2 Posts

Posted - 08/26/2007 :  16:11:49  Show Profile
Write a ten-digit 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.
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sahsjing
Advanced Member

USA
2399 Posts

Posted - 08/26/2007 :  16:55:11  Show Profile
6210001000
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deff
Junior Member

USA
5 Posts

Posted - 08/27/2007 :  03:53:12  Show Profile
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
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sahsjing
Advanced Member

USA
2399 Posts

Posted - 08/28/2007 :  18:43:05  Show Profile
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 ten-digit numeral must contain many zeros. But the link given by David appears to be great!
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