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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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Guess | Comment 1 of 4
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

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