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225 as a factor (Posted on 2022-04-12) Difficulty: 3 of 5
Please specify how many positive integers display the following features:
a. The number is below 10^12.
b. It is a multiple of 225.
c. Its decimal representation involves only two distinct digits.

Provide a justification of your result..

See The Solution Submitted by Ady TZIDON    
Rating: 5.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Analytic solution | Comment 5 of 7 |
(In reply to Analytic solution by Larry)

a. One word for your expose !  

C H A P E A U !.
b. The source was somewhere in Putnam but it referred to ones and zeroes and was copied by Ravi Raja long time ago. 
I found it more challenging to generalise. 
c. BTW: Since my solution is isomorphic  I  will refer to yours as “official “


WHY NO ONE RATED THIS PUZZLE?




Edited on April 13, 2022, 4:48 am
  Posted by Ady TZIDON on 2022-04-13 04:43:10

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