Question
How many three-letter words can be formed such that all
letters are vowels, and no two letters are the same?Solution
ATQ, Number of ways to choose the first letter (vowel) 5C₁ =5 Number of ways to choose the second letter (Different vowel) = 4C₁ = 4 Number of ways to choose the third letter (different from the first two vowels) = 3C₁ = 5 Hence total number of ways = 5 × 4 × 3 = 60 ways
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