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])