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<3
Lv 4
<3 asked in Science & MathematicsMathematics · 9 years ago

gr 12 data managment question?

Find the number of permutations of six colors on a spinner.

and

22. Find the number of permutations of the letters of these words:

a. DEED b. COMMITTEE c. CINCINNATI

1 Answer

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  • MathMan TG
    Lv 7
    9 years ago
    Favorite Answer

    Spinner: 6! = 720,

    but rotating the whole thing doesn't change anything,

    so divide by 6 .... 5! = 120

    DEED: 4c2 ways to place the D's = 6 (and then no choices for the E's)

    COMMITTEE:

    9 places for C

    8 places for O

    7 places for I

    6c2 = 15 choices for M's

    4c2 = 6 choices for T's

    2c2 = 1 choice for E's

    multiply all those together to get the answer

    Or if you prefer a single formula:

    9! / (2! 2! 2!) because of the double letters

    CINCINNATI

    10! / (2! for C's * 3! for I's * 3! for N's)

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