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.
(In reply to
An observation by Jer)
Interesting observation.
This open more questions:
1. For very big n! numbers is there any nonzero 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 20190117 00:24:54 