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 my opinion the most frequent digit will be 0 as 77777! has at least a queue composed of
7777+777+77+7 coming from multiples of 10
and as all factorials are even numbers,
other 7777 zeros coming from other multiples of 5.
This form a queue of at least 16415 zeros that is not impressive if compared to a more than 300000 digits of each factorial from 77777 ahead, but enough I think in an enviroment full of 7 that is an excellent distributor of different digits.
Edited on January 16, 2019, 9:57 am
Posted by armando
on 2019-01-16 09:13:41