How do you simplify $(n!)/((n - 1)!)$ ?

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Answer 1 · 2017-03-30T22:11:24

$n$

The definition of a factorial is $n! = n(n - 1)(n - 2)(...)(1)$ . To take a concrete example, we have that $3! = 3 * 2 * 1 = 6$ .

Applying this definition, we have:

$(n!)/((n - 1)!) = (n(n - 1)!)/((n - 1)!) = n$

Hopefully this helps!

How do you simplify (n!)/((n - 1)!)(n!)/((n - 1)!)?