Binomial Coefficient/Examples/4 from 52
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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): $24$