Question
How many four-letter words without repetition having
exactly two vowels can be formed by using the letters of the word "PAINTER"?Solution
"PAINTER" has 4 consonants and 3 vowels.
Number of ways to select the letters = 3C2 × 4C2 = 3 × 6 = 18
Arrangements of 4 letters = 4! = 24
Total number of words formed = 18 × 24 = 432
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