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The English alphabet contains 21 consonants and 5 vowels. How many strings of 7 letters of the English alphabet contain (a) exactly one vowel? (b)

The English alphabet contains 21 consonants and 5 vowels. How many strings of 7 letters of the English alphabet contain (a) exactly one vowel? (b) exactly two vowels? (c) at least one vowel? (d) at least two vowels?

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