Binomial Coefficient/Examples/4 from 9

Example of Binomial Coefficient

The number of ways of choosing $4$ objects from a set of $9$ is:

$\dbinom 9 4 = \dfrac {9 \times 8 \times 7 \times 6} {4 \times 3 \times 2 \times 1} = \dfrac {9!} {4! \, 5!} = 126$


Sources

  • 2009: Murray R. Spiegel, Seymour Lipschutz and John Liu: Mathematical Handbook of Formulas and Tables (3rd ed.) ... (previous) ... (next): $\S 3$: The Binomial Formula and Binomial Coefficients: Binomial Coefficients: $3.5$: Example
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