Binomial Coefficient/Examples/3 from 7

Example of Binomial Coefficient

The number of ways of choosing $3$ objects from a set of $7$ is:

$\dbinom 7 3 = \dfrac {7 \times 6 \times 5} {3 \times 2 \times 1} = \dfrac {7!} {3! \, 4!} = 35$

Sources

• 1964: A.M. Yaglom and I.M. Yaglom: Challenging Mathematical Problems With Elementary Solutions: Volume $\text { I }$ ... (previous) ... (next): Problems