Question
How many four-letter words without repetition having
exactly two vowels can be formed by using the letters of the word "MONARCH"?Solution
"MONARCH" has 5 consonants and 2 vowels.
Number of ways to select the letters = 2C2 × 5C2 = 1 × 10 = 10
Arrangements of 4 letters = 4! = 24
Total number of words formed = 10 × 24 = 240
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