How many words of 4 consonants and 3 vowels can be formed from 9 consonants and 3 vowels?

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  • 2 years ago
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    Distinct words mean we have permutations and not combinations as the order of the letters is important

    Consonants => 9P4

    i.e. 9!/5! = 9 x 8 x 7 x 6 => 3024

    Vowels => 3P3

    i.e. 3!/0! = 3 x 2 x 1 => 6

    Choices are independent so we have 9P4 x 3P3

    i.e. 3024 x 6 => 18144

    :)>

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