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Bin |
Syntax |
Bin(N:INT or POLY,K:INT):INT |
Summary |
binomial coefficient |
Description |
This function computes the binomial coefficient, 'N choose K' according to the formula (N)(N-1)(N-2)...(N-K+1)/ K! The same formula is used if N is a polynomial. The integer K cannot be negative. |
Example |
Bin(4,2); 6 ------------------------------- Bin(-4,3); -20 ------------------------------- Bin(x^2+2y,3); 1/6x^6 + x^4y - 1/2x^4 + 2x^2y^2 - 2x^2y + 4/3y^3 + 1/3x^2 - 2y^2 + 2/3y ------------------------------- It = (x^2+2y)(x^2+2y-1)(x^2+2y-2)/6; TRUE ------------------------------- |
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