Question

    How many four-letter words without repetition having

    exactly two vowels can be formed by using the letters of the word "MONARCH"?
    A 216 Correct Answer Incorrect Answer
    B 228 Correct Answer Incorrect Answer
    C 240 Correct Answer Incorrect Answer
    D 252 Correct Answer Incorrect Answer
    E 264 Correct Answer Incorrect Answer

    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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