Question

    How many four-letter words without repetition having

    exactly two vowels can be formed by using the letters of the word "SEMINAR"?
    A 408 Correct Answer Incorrect Answer
    B 420 Correct Answer Incorrect Answer
    C 432 Correct Answer Incorrect Answer
    D 444 Correct Answer Incorrect Answer
    E 456 Correct Answer Incorrect Answer

    Solution

    "SEMINAR" 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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