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Permutation problem???

Rosabelle has 5 different flags and 8 flagpoles in a row. How many different ways can she fly her flags if she flies all 5 flags every time?

3 Answers

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  • M3
    Lv 7
    9 years ago
    Favorite Answer

    not so easy a problem !

    the 3 terms of each expression are:

    (choose poles to use) *(distribute flags to chosen poles) *(pemute flags on each pole)

    50000000: (8c1) (5c5) (5!)

    41000000: (8c2) (5c4) (4!)

    32000000: (8c2) (5c3) (3!2!)

    31100000: (8c3) (5c3*2c1) (3!)

    22100000: (8c3) (5c2*3c2) (2!2!)

    21110000: (8c4) (5c2*3c1*2c1) (2!)

    11111000: (8c5) (5c1*4c1*3c1*2c1)

    compute and add up !

  • 9 years ago

    8P5 = 8!/(8-5)! = 8!/3! = 8*7*6*5*4=6,720

  • ?
    Lv 7
    9 years ago

    8P5 = 6720

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