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Factorial Tremors (Posted on 2019-01-16) Difficulty: 3 of 5
What decimal digit occurs most often in the sequence of factorials from 77777! to 77877! inclusive?

Note: This can be solved by logic. No computer is needed.

No Solution Yet Submitted by Danish Ahmed Khan    
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re: An observation Comment 4 of 4 |
(In reply to An observation by Jer)

Interesting observation. 

This open more questions:
1. For very big n! numbers is there any non-zero digit (always the same) showing more than the others?
2. If not: is it possible that the differences in the frequences of the digits tends to 0, so that the zeros at the end, despite of being a very little proportion, keep the leadership of the zeros?  

In this case the digits works as the outcomes of a dice thrown a very big number of times.

Edited on January 17, 2019, 3:23 am
  Posted by armando on 2019-01-17 00:24:54

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