binomial coefficient Algorithm
In mathematics, the binomial coefficients are the positive integers that happen as coefficients in the binomial theorem. The symbol (N K) is normally read as" N choose K”. The binomial coefficients occur in many areas of mathematics, and especially in combinatorics. The earliest known detailed discussion of binomial coefficients is in a tenth-century commentary, by Halayudha, on an ancient Sanskrit text.
def binomial_coefficient(n, r):
"""
Find binomial coefficient using pascals triangle.
>>> binomial_coefficient(10, 5)
252
"""
C = [0 for i in range(r + 1)]
# nc0 = 1
C[0] = 1
for i in range(1, n + 1):
# to compute current row from previous row.
j = min(i, r)
while j > 0:
C[j] += C[j - 1]
j -= 1
return C[r]
print(binomial_coefficient(n=10, r=5))
