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Distinct Decimal Digits (Posted on 2014-10-21) Difficulty: 3 of 5
Arrange the nine non-zero decimal digits in a certain order
e.g. abcdefghi.
Now evaluate abc*cba+def*fed+ghi*ihg
Call the result R and the number of distinct digits in it D(R).

Example: for concatenation 125736849 R=1339330 and D(R)=4

a, What concatenation, if any, results in D(R)=7?
b. For what concatenation(s) the D(R) is minimal?

Rem: Due to symmetry there will be multiple solutions, please list the lowest one only.

No Solution Yet Submitted by Ady TZIDON    
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  Subject Author Date
Solutioncomputer solutionsCharlie2014-10-21 15:30:43
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