Binomial Coefficient/Examples/5 from 12

Example of Binomial Coefficient

The number of ways of choosing $5$ objects from a set of $12$ is:

$\dbinom {12} 5 = \dfrac {12 \times 11 \times 10 \times 9 \times 8} {5 \times 4 \times 3 \times 2 \times 1} = \dfrac {12!} {7! \, 5!} = 792$


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
This article is issued from ProofWiki. The text is available under Creative Commons Attribution-ShareAlike License unless otherwise noted. Additional terms may apply for the media files.