The number of selections of n objects taken r at a time (that is, the number of ways of selecting r objects out of n) is denoted by nCr and is equal to
(See also binomial coefficient.) For example, from four objects A, B, C, and D, there are six ways of selecting two: AB, AC, AD, BC, BD, CD. The property that
can be directly seen in Pascal’s triangle. Compare permutation.