The words need not be English language words 142506
What is permutation and combination?
A set of elements can be divided into subsets in two different ways: combination and permutation.
The components of the subset may be arranged in any order when combined. The components of the subset are listed in a permutation in a certain order.
If the word has 5 different letters then it is just 26-choose-5 or (26/5).
If the word has 4 different letters then it is just 26-choose-4 or (26/4)
have 4 options to choose which letter to duplicate twice.
This gives = 4*(26/4)
If the word has 3 different letters then it is just 26-choose-3 or (26/3).
you duplicate one of the three letters 3 times - 3 options for that, or you choose 2 letters and duplicate each one twice - again 3 options. In total this gives = 6*(26/3).
If the word has 2 different letters then it is just 26-choose-2 or (26/2).
The sets of 2 different letters and duplicate either one of the letters 4 times - 2 options; or duplicate one letter 2 times, and the other 3 times - again 2 options. In total this is = 4*(26/2).
The word has just 1 distinct letter you have = (26/1).
we get :
N = (26/5)+ 4*(26/4) + 6*(26/3) + 4*(26/2) + (26/1)
= 142506
The words need not be English language words = 142506
Learn more about permutation and combination
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