Expand Factorials: (n-2)! & (n-n')!

khary23 · Feb 18, 2011

I know how to expand a factorial of the form (n-2)!. How would one expand (n-n')! ?
Would it just be (n-n')?
thanks in advance

dextercioby · Feb 18, 2011

What do you mean expand ? The factorial is just a <shortening> of a product, so by my records <expanding> it means expressing the whole terms explicitely (if many, maybe use the <...> sign).

khary23 · Feb 18, 2011

What I meant is how does one write (n-n')! For example n!= n(n-1)(n-2)...

Mentallic · Feb 18, 2011

n!=(n)(n-1)(n-2)...(2)(1)

Therefore, (n-n')! is just n-n' substituted for all n above, thus

(n-n')(n-n'-1)(n-n'-2)...(2)(1).

khary23 · Feb 18, 2011

Ok thought it was that simple. thank you!

Expand Factorials: (n-2)! & (n-n')!

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