Question

    How many four-letter words without repetition having

    exactly two vowels can be formed by using the letters of the word "SCIENCE"?
    A 72 Correct Answer Incorrect Answer
    B 96 Correct Answer Incorrect Answer
    C 144 Correct Answer Incorrect Answer
    D 432 Correct Answer Incorrect Answer

    Solution

    "SCIENCE" word has 4 consonants and 3 vowels.

    Number of ways in which the four letters can be selected = 3C2 ​ × 4C2 ​ = 3 × 6 = 18

    Now, these 4 letters can be arranged within the word in 4!=24 ways

    So, the total number of words formed =18 × 24 = 432

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