The following formula is involved in the calculation of binomial coefficient values:
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Binomial coefficient:

where n is the first nonnegative integer, and k is the second nonnegative integer.
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The following references can be used to cite this binomial coefficient calculator:
 | Soper, D.S. (2013). Binomial Coefficient Calculator [Software]. Available from http://www.danielsoper.com/statcalc |
 | Abramowitz, M. and Stegun, I.A., eds. (1965). Handbook of Mathematical Functions. New York, NY: Dover. |