Multiple Choice Questions on A word consists of 9 letters 5 consonants and 4 vowels Three letters are choosen at random What is t........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

A word consists of 9 letters 5 consonants and 4 vowels Three letters are choosen at random What is t...........

Quantitative Aptitude ( CCS) Probability
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    A word consists of 9 letters; 5 consonants and 4 vowels.Three letters are choosen at random. What is the probability that more than one vowel will be selected ?

    13/40

    Incorrect Answer

    17/42

    Correct Answer

    3/14

    Incorrect Answer

    5/42

    Incorrect Answer
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    Explanation:

    3 letters can be choosen out of 9 letters in 9C3 ways.

    More than one vowels ( 2 vowels + 1 consonant or 3 vowels ) can be choosen in (4C2*5C1)+4C3 ways

    Hence,required probability = (4C2*5C1)+4C3 /9C3 = 17/42

    Hence, option 2 is the correct answer.

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