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is the [[binomial coefficient]] "''n'' choose ''k''" (also denoted ''C''(''n'', ''k'') or ''n''C''k''), hence the name of the distribution. The formula can be understood as follows: we want ''k'' successes (''p''<sup>''k''</sup>) and ''n'' − ''k'' failures ((1 − ''p'')<sup>''n'' − ''k''</sup>). However, the ''k'' successes can occur anywhere among the ''n'' trials, and there are C(''n'', ''k'') different ways of distributing ''k'' successes in a sequence of ''n'' trials.
In creating reference tables for binomial distribution probability, usually the table is filled in up to ''n''/2 values. This is because
:<math>f(k;n,p)=f(n-k;n,1-p).\,</math>
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