Question

(1 point) how many 6-letter words that have the letter 'x' are possible? letters may be repeated, and the words don't have to be meaningful. (hint: first count the words without 'x' .)

Answer 1

Since, there are 26 letters in total.

So, total permutations of 26 letters in the 6 letter word will be = 26*26*26*26*26*26 = 26^6

No. of letters that doesn’t include X = 26-1 =25

Permutations of letters that doesn’t include x = 25*25*25*25*25*25 = 25^6

So, total number of permutations that includes x= total permutations of 26 letters- permutation of letters that doesn’t include x

= (26^6 - 25^6) = 64,775,151