X3

Cnp

cnp calculates the number of arrangements of 'p' objects taken from 'n'.

Syntax

   cnp(N,P)

* 'N' and 'P' are integer expressions. 'P' must be in the [0,N] range.

   Local Integer I,J, NB_ARR
   I=10
   J=8
   NB_PERM=cnp(I,J) : # Returns 45

cnp(N,P) returns fac(N)/ (fac(P)*fac(N-P)).

To avoid loosing precision, the calculation algorithm does not use the factorial function. If 'N' and 'P' are not integer values, they are truncated.

The type of result is Integer or Decimal depending if the value is smaller or greater than 2^31-1.