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the permutations ask how many ways you can arrange the letters in TACK.?

1.TACK

2. MAR

3. GAMER.

i dont even know where to start. helppp?

1 Answer

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  • M3
    Lv 7
    1 decade ago
    Favorite Answer

    hi betsy !

    this is pretty basic, and has to do with PERMUTATIONS.

    let's solve without going into technicalities (which you may be taught in class)

    q1

    there are 4 choices for the 1st letter,

    3 choices for the 2nd letter,

    2 choices for the 3rd letter

    and only 1 choice left for the 4th letter.

    multiply all to get 4 x 3 x 2 x 1

    = 24 arrangements

    -----------------------------

    q2

    similarly,

    3 x 2 x 1

    = 6

    -----

    q3

    similarly,

    5 x 4 x 3 x 2 x 1

    = 120

    --------

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