Binary Coefficients.py

def pascal_triangle(lineNumber):
    list1 = list()
    list1.append([1])
    i = 1
    while i <= lineNumber:
        j = 1
        l = []
        l.append(1)
        while j < i:
            l.append(list1[i - 1][j] + list1[i - 1][j - 1])
            j = j + 1
        l.append(1)
        list1.append(l)
        i = i + 1
    return list1


def binomial_coef(n, k):
    pascalTriangle = pascal_triangle(n)
    return pascalTriangle[n][k - 1]