RosettaCodeData/Task/Evaluate-binomial-coefficients/Maxima/evaluate-binomial-coefficients.maxima

binomial( 5,  3);      /* 10 */
binomial(-5,  3);      /* -35 */
binomial( 5, -3);      /* 0 */
binomial(-5, -3);      /* 0 */
binomial( 3,  5);      /* 0 */

binomial(x, 3);        /* ((x - 2)*(x - 1)*x)/6 */

binomial(3, 1/2);      /* binomial(3, 1/2) */
makegamma(%);          /* 32/(5*%pi) */

binomial(a, b);        /* binomial(a, b) */
makegamma(%);          /* gamma(a + 1)/(gamma(-b + a + 1)*gamma(b + 1)) */