How to simplify factorial before calculating the result

Hi, I'm trying to calculate (2189!/(2165!*24!))/(2190!/(2165!*25!)). MathLab is telling me it's NaN because of the Inf/Inf result but i know the answer is around 1/438. Is there a way to tell MathLab to simplify the factorials before calulating their values.

[James Tursa]

Is it only this particular calculation you are interested in (which easily reduces to 25/2190 by inspection ... not close to your claimed 1/438), or is this simply an example of a more generic calculation?

Answer 1

[Matt J]

nchoosek(2189,24)/nchoosek(2190,25),

Warning: Result may not be exact. Coefficient is greater than 9.007199e+15 and is only accurate to 15 digits

Warning: Result may not be exact. Coefficient is greater than 9.007199e+15 and is only accurate to 15 digits

ans = 0.0114

[Christophe Croisetière]

You're my savior.

[Matt J]

I'm glad, but if so, please Accept-click the answer.