math could you please help i don't understand

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in a competition 5 figure skaters will skate in a randomely assigned order. why can't you evaluate the product 5*5*5*5*5 to find the number of possible orders in which the skaters can skate

  • math could you please help i don't understand -

    there are 5 skaters sitting in a penalty box.
    A B C D E
    You pull one out at random.
    Say it is C and our chance is 1/5 for picking C
    NOW WE HAVE 4
    A B D E
    Say it is A and our chance is 1/4 for picking A ( NOT 1/5 !!!!)
    Next we pick B (1/3)
    Next D (1/2)
    Next E (1/1 or 1)
    SO
    our chances of picking that order are
    (1/5)(1/4)(1/3)(1/2)(1/1)
    or
    1/5!
    SO
    and the number of possible orders is
    5! = 120

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