All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
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    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutioncomputer solutionsCharlie2014-10-21 15:30:43
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information