Describe which words with 10 letters give rise to the most a

Describe which words with 10 letters give rise to the most anagrams, how many anagrams do they give rise to? Describe which words with 10 letters give rise to the least number of anagrams, how many anagrams do they give rise to?

Solution

Words of 10 letters with 10 distinct alphabets would give rise to maximum number of anagrams

It would be equal to number of permutations of 10 alphabets on 10 places which is 10!

Words of 10 lettesr with all letters identical ie same alphabet would given rise to only 1 anagram.