Let E denote the set of letters of the Englis | vedclass

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(A) The total number of four-letter words that can be formed using $26$ letters is $26^4 = 456976$.The number of four-letter words formed using only l

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$261870$

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(A) The total number of four-letter words that can be formed using $26$ letters is $26^4 = 456976$.The number of four-letter words formed using only letters from set $V$ (vowels) is $5^4 = 625$.The number of four-letter words formed using only letters from set $C$ (consonants) is $21^4 = 194481$.The number of words containing at least one vowel and at least one consonant is given by the total number of words minus the words containing only vowels and the words containing only consonants.Number of words $= 26^4 - 5^4 - 21^4$$= 456976 - 625 - 194481$$= 261870$.

Let $E$ denote the set of letters of the English alphabet,$V = \{a, e, i, o, u\}$ and $C$ be the complement of $V$ in $E$. Then,the number of four-letter words (where repetitions of letters are allowed) having at least one letter from $V$ and at least one letter from $C$ is

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