Binomial coefficient definitions

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Binomial coefficient

Binomial coefficient logo #21000 === Identity for the product of binomial coefficients === where the connection coefficients are multinomial coefficients. In terms of labelled combinatorial objects, the connection coefficients represent the number of ways to assign m+n-k labels to a pair of labelled combinatorial objects—of weight m and n respectively—that have had their firs...
Found on http://en.wikipedia.org/wiki/Binomial_coefficient

binomial coefficient

binomial coefficient logo #21003(from the article `combinatorics`) An ordered set 1, 2, . . . , of distinct objects selected from a se55t of objects is called a permutation of things taken at a time. The number ...
Found on http://www.britannica.com/eb/a-z/b/66

binomial coefficient

binomial coefficient logo #21160A coefficient of x in the expansion of (x + y)n. The binomial coefficient nCm, (mn), or gives the number of ways of picking m unordered outcomes from n possibilities, and is also known ...
Found on http://www.daviddarling.info/encyclopedia/B/binomial_coefficient.html

binomial coefficient

binomial coefficient logo #21199any one of the coefficients of the variables in an expanded binomial series.
Found on https://www.infoplease.com/dictionary/binomial-coefficient
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