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python calculate total number of permutations

from math import factorial
def nPr(n, r):
    return int(factorial(n)/factorial(n-r))
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how to find permutation of numbers in python

def permute(LIST):
    length=len(LIST)
    if length <= 1:
        yield LIST
    else:
        for n in range(0,length):
             for end in permute( LIST[:n] + LIST[n+1:] ):
                 yield [ LIST[n] ] + end

for x in permute(["3","3","4"]):
    print x
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