Gr. 12 Data Management

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How many arrangements of the word ALGORITHM begin with a vowel and end with a consonant?

  • Gr. 12 Data Management -

    there are 3 vowels and 6 consonants.

    So there are 3 ways to fill the first spot and 6 ways to fill the last.
    The leaves the remaining 7 letters to go anywhere else.
    so
    3x7x6x5x4x3x2x1x6
    = 3(7!)(6) = 90720

  • Gr. 12 Data Management -

    reiny can u answer my other two questions

  • Gr. 12 Data Management -

    there are 3 vowels and 6 consonant
    arrangements starting with vowel A
    =(7*6*5*4*3*2*1)*6
    =30240
    arrangements starting with vowel O
    = 302460
    arrangements starting with vowel I
    =30240
    : . total arrangements =30240+302460+30240
    =90720 arrangements

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