Question
How many four-letter words without repetition having
exactly two vowels can be formed by using the letters of the word "MEASURE"?Solution
"MEASURE" has 3 consonants and 3 vowels.
Number of ways to select the letters = 3C2 Ă— 3C2 = 3 Ă— 3 = 9
Arrangements of 4 letters = 4! = 24
Total number of words formed = 9 Ă— 24 = 216
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