Binomial Coefficient/Examples/4 from 52

Example of Binomial Coefficient

The number of ways of choosing $4$ objects from a set of $52$ (for example, cards from a deck) is:

$\dbinom {52} 4 = \dfrac {52 \times 51 \times 50 \times 49} {4 \times 3 \times 2 \times 1} = \dfrac {52!} {48! \, 4!} = 270 \, 725$

Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $24$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $24$