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Math Help - Combinations and permutations

  1. #1
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    Combinations and permutations

    This question follows on from the four dice question.... Four dice are rolled, what is the probability of obtaining

    (i) A six, a five, a four, a three

    I'm trying to use the n_C_k (binomial coefficients) and not exhaustive methods. I have an idea as to the answer but want an answer laid out as

    P= n(Event)
    n(Sample space)



    Thanks.

    p.s. this is for a recap on basic probability for a statistical physics course. Cheers.



    Also, another question - A child distributes eight identical marbles between three different boxes, how many distinguishably different arrangements are there?


    Thanks.
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  2. #2
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    Lexington, MA (USA)
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    Hello, dom.357!

    Four dice are rolled, what is the probability of obtaining

    (i) A six, a five, a four, a three

    The same space is: .6^4 = 1296

    There is one way to get 6, 5, 4, 3 in that order.
    . . But there are 4! = 24 possible orders.

    Answer: .24/1296 .= .1/54

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  3. #3
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    Ok, thanks for your help....but where do the C and P coefficients come into problems like these. Do I need to use them to compute answers such as the one above..
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