How many 3 letter words can be constructed using any of the 26 letters of the english alphabet if only the middle letter of each word is a vowel?
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Given:
Total number of alphabets = 26
To Find:
Three letter words formed by using 26 letters if the middle of each letter is a vowel.
Solution:
Total number of letters = 26
Total number of consonants = 21
Total number of vowels = 5
Therefore,
Ways in which the first letter can be chosen = 21 ways
Ways and the last letter can be chosen = 21 ways
Ways in which the middle letter can be chosen = 5
Thus,
Total words = 21 × 5 × 21
= 441 × 5
= 2205
Answer: The total three letter words that can be made are 2205 words
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