English has 6 letters that can be vowels. This includes Y, which can be either a consonant or a vowel; for this problem, we'll consider Y a vowel. The other 20 English letters are always consonants. How many two-letter "words" can we make from these letters if we are required to use at least one vowel? (We aren't limited to words that have an actual meaning in English. Thus, for this problem, we'll include nonsense "words" like AA, QO, XY, and UZ.)

Question

Tristin Key

Mathematics

6 March, 09:22

English has 6 letters that can be vowels. This includes Y, which can be either a consonant or a vowel; for this problem, we'll consider Y a vowel. The other 20 English letters are always consonants. How many two-letter "words" can we make from these letters if we are required to use at least one vowel? (We aren't limited to words that have an actual meaning in English. Thus, for this problem, we'll include nonsense "words" like AA, QO, XY, and UZ.)

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Answers (1)

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Isaias Edwards · Answer 1

You have 6 vowels and can have that first and twenty other constanants

so that means (AC, AB ...) so then thats 20 * 6 = 120 words

then you have the double vowel words. of the same vowel. so (AA, OO). which would be 6*1=6

then only vowel combinations (AO) 6*6=36

so then 120 + 6+36 = 162 words