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Math Help - Why call it the Binomial Theorem?

  1. #1
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    Why call it the Binomial Theorem?

    Taking Statistics for Economists, and the book refers to the binomial theorem using as:

    (a + b)^n where n is # of Bernoulli trials.

    I just realized though, although this is considering p(success) and p(failure) as the variables, since outcome space is also a variable, would not a more appropriate moniker be trinomial theorem? I do not know if this qualifies as a question or not, just looking for some clarification on the terminology since number of trials can be potentially infinite.
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  2. #2
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    a+ b is a binomial because it has two parts. The actual "binomial theorem" has nothing to do with probability and its name has nothing to do with "outcomes".
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  3. #3
    MHF Contributor matheagle's Avatar
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    trinomial would have three terms, as in

    (a+b+c)^n
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