# nCr results in too big numbers

Answered

Hi,

I have a problem with factorial producing too big number

func(n, k) = n! / (n - k)! / k! b^k (1 - b)^(n - k)

As n is the big number (around 0 to 500) and k the small one (interval 0 to 5) in my bernoilli experiment I would like to have a function that tells geogebra to (the following is Java-Code):

myFunction(int n, int k) { int product = 1; for (int i = n; i > n-k; n--) product *= i; return product; }to simplify this part of the equation and avoid the big numbers above '171!'

n! / (n - k)!

Is this possible with some javascript trickery or is it useless because GeoGebra is already smart enough to optimize it and this would not do anything at all?

Thanks in advance

Please explain overall what you are trying to do

This almost works, sadly nPr gives 0 for non-integers

What do you want to do with it? Just plot graph, or calculate?

Try like this using the CAS View and a trick...

Veo que no entendí la petición correctamente cuando contesté con el anterior post en el que daba una herramienta que hacía pequeño el cálculo de nCr

viendo el truco de Michael no era tan complicado encontrar la llamada nPr2(x) porque basta con usar

g(x) = Polynomial(Product(Sequence(x - k, k, 0, n - 1))) que es lo mismo pero sin CAS y sin integrar

así b_k(x)=g(x)/k! p^k (1-p)^(x-k)

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