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Seven come eleven (Posted on 2010-12-11) Difficulty: 4 of 5
  A positive integer N fulfills the following demands:.
N is a 7 digit number.
N's digits can be arranged as seven distinct members of an arithmetic progression(either ascending or descending) .

N is a multiple of 11.

How many positive integers like N exist?
Evaluate the lowest and the highest N.
BONUS : How about 8 digits? Nine? All ten?
  Rem: It is D4 for fully explained and errorless P&P result,might be significantly lower for software solution.    

See The Solution Submitted by Ady TZIDON    
Rating: 4.0000 (3 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionAnswer for 7 digitsMath Man2011-01-03 18:40:37
re: to be hoped comments will not get wiped outAdy TZIDON2010-12-11 17:16:43
to be hoped comments will not get wiped outCharlie2010-12-11 17:07:17
7 thru 9 againCharlie2010-12-11 17:06:09
Hints/Tipsre(3): for 10 digits ?????? remarkAdy TZIDON2010-12-11 16:45:36
Questionre(3): 7 through 9 digits b I WAS BLOCKED???Ady TZIDON2010-12-11 16:26:29
re(2): for 10 digits ??????Charlie2010-12-11 15:51:35
re(2): 7 through 9 digits b I WAS BLOCKED???Charlie2010-12-11 15:43:13
Questionre: for 10 digits ??????Ady TZIDON2010-12-11 15:39:58
Some Thoughtsre: 7 through 9 digits b I WAS BLOCKED???Ady TZIDON2010-12-11 15:35:01
for 10 digitsCharlie2010-12-11 15:28:45
Some Thoughtsmostly computer solution for 7 through 9 digitsCharlie2010-12-11 14:17:39
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