Singular Manual: binomial

| #### D.2.3.5 binomial Procedure from library `general.lib` (see general_lib). Usage: binomial(n,k); n,k integers Return: binomial(n,k); binomial coefficient n choose k Example:
    LIB "general.lib";
    binomial(200,100);"";                 //type bigint
    ==> 90548514656103281165404177077484163874504589675413336841320
    ==>
    int n,k = 200,100;
    bigint b1 = binomial(n,k);
    ring r = 0,x,dp;
    poly b2 = coeffs((x+1)^n,x)[k+1,1];  //coefficient of x^k in (x+1)^n
    b1-b2;                               //b1 and b2 should coincide
    ==> 0

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