# 3 examples of 'python binomial coefficient' in Python

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``6def binomial_coefficient(n, k):7	'''Calculating bionomial coefficient using recursion'''8	if k == 0 or k == n:9		return 11011	return binomial_coefficient(n-1, k-1) + binomial_coefficient(n-1, k)``
``28def binomialCoeff(n, k):29    res = 130    if (k > n - k):31        k = n - k32    for i in range(0, k):33        res = res * (n - i)34        res = res // (i + 1)3536    return res``
``123def binomial(big, small):124    '''125    Get the binomial coefficient (big small).126    127    This is used in combinatorical calculations. More information:128    http://en.wikipedia.org/wiki/Binomial_coefficient129    '''130    if big == small:131        return 1132    if big < small:133        return 0134    else:135        return (math.factorial(big) // math.factorial(big - small)136                                                      // math.factorial(small))``