Binomial Coefficient

vCalc Reviewed

(\frac{n}{S}) = Binomial Coefficient

$(n/S) = "Binomial Coefficient"$

$(n)"Total number of trials."$

$(S)"Total number of successes in the trials."$

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The Binomial Coefficient calculator return the correct binomial coefficient for set number of successes (S) in a set number of trials (n).

INSTRUCTIONS: Enter the following:

(S) Enter the number of successful event.
(n) Enter the total number of trials.

Binomial Coefficient:The calculator returns the binomial coefficient. This function is a prominent feature with other statistical functions in the College Level Statistics Calculator (Stat Calc).

Note: The algorithm currently only supports up to twenty trials.

The Math

The Binomial Coefficients are based on Pascal's Triangle (See Table Below).

/attachments/a806f688-fd0e-11e6-9770-bc764e2038f2/Pascals Triangle.png

References

Naiman, Arnold, Robert Rosenfeld, and Gene Zirkel. "Common Statistical Measures."Understanding Statistics. 2nd ed. N.p.: n.p., 1977. 65. Print.