How many strings of 4 lower case English letters are possible that have the letter "t" in them somewhere? Here strings may use the same letter more than once. (Hint: It might be easier to first count the strings that don't have a "t" in them.)

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Answer:

66351

Step-by-step explanation:

The possible 4 letter words can be found simply as:

We know there are total 26 alphabets.

So total possible 4 letter words :

[tex]26^{4} =456976[/tex]

4 letter words without 't':

[tex]25^{4} =390625[/tex]

4 letter words with 't' = total possible 4 letter words - 4 letter words without 't'

4 letter words with 't' = 456976 - 390625=66351

4 letter words with 't'  = 66351