Factorial/Examples/10

Example of Factorial

$10! = 3 \, 628 \, 000$


Proof

From Examples of Factorials:

$9! = 362 \, 880$

Then:

\(\ds 10!\) \(=\) \(\ds 10 \times 9!\) Definition of Factorial
\(\ds \) \(=\) \(\ds 3 \, 628 \, 000\)

$\blacksquare$


Sources

  • 1997: Donald E. Knuth: The Art of Computer Programming: Volume 1: Fundamental Algorithms (3rd ed.) ... (previous) ... (next): $\S 1.2.5$: Permutations and Factorials
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