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R asked in Science & MathematicsMathematics · 2 months ago

Permutations Math Question?

Of the arrangements of the letters in the word COMPUTER, how many of them begin with a consonant? Answer should be 25200 but I'm not sure how to get there. Thanks

1 Answer

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    Lv 5
    2 months ago

    all the letters in COMPUTER are different eight in total with 5 consonants and 3 vowels

    the answer is the sum of all combinations of selected consonant with all possible arrangements of seven different letters

    5 (consonants)* combinations of seven different letters

    5 * 7!

    5*5040

    25200

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