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Math Help - Counting - Generalized Permutations and Combinations

  1. #1
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    Counting - Generalized Permutations and Combinations

    Problem statement:
    "A Bicycle collector has 100 bikes. How many ways can the bikes be stored in four warehouses if the bikes and the warehouses are considered distinct?"

    solution:
    n = 100
    r = 4
    C(100, 4) = 3 921 225 ways

    Question:
    Is the above solution correct?
    Since the problem statement states that the bikes are considered distinct does that mean that there is no repetition?
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  2. #2
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    Quote Originally Posted by sedemihcra View Post
    Problem statement:
    "A Bicycle collector has 100 bikes. How many ways can the bikes be stored in four warehouses if the bikes and the warehouses are considered distinct?"
    Given only those directions we must say the answer is 4^{100}.
    That is the number of functions from a set of 100 to a set of 4.
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  3. #3
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    Thanks a bunch.
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