NCN
nCn, read as "n choose n," is the binomial coefficient with parameters n and n. In combinatorics, it represents the number of ways to select n elements from a set of n elements. For non-negative integers n, the value is computed as nCn = n! / (n! (n − n)!) = n! / (n! 0!) = 1, since 0! = 1. Consequently, nCn = 1 for every n ≥ 0, and 0C0 is also defined as 1.
In Pascal's triangle, each row begins and ends with 1, reflecting that C(n,0) = C(n,n) = 1. In
Note on generalization: The standard definition of binomial coefficients requires integer n and k with 0 ≤