6.6.2  Binomial coefficients: binomial comb nCr

The comb command computes the binomial coefficients.
nCr is a synonyms for comb.

• comb takes two arguments:
  n and p, integers.
  
• comb(n,p) returns (_pⁿ) =C_n^p.

Example.
Input:

Output:

Remark.
The binomial command (see Section 9.4.3) can also compute the binomial coefficients, but unlike comb and nCr it can take an optional third argument, a real number a, to compute the binomial distribution. In this case binomial(n,p,a) returns (_pⁿ) a^p(1−a)^n−p, the probability of p successes in n independent Bernoulli trials, where each trial has a probability a of success.

Example.
Input:

Output: