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from __future__ import print_function
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from scipy.misc import factorial as fact
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from scipy.misc import comb
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def perm(N, k, exact=0):
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return comb(N, k, exact) * fact(k, exact)
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exact=True
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print('Sample Perms 1..12')
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for N in range(1, 13):
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k = max(N-2, 1)
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print('%iP%i =' % (N, k), perm(N, k, exact), end=', ' if N % 5 else '\n')
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print('\n\nSample Combs 10..60')
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for N in range(10, 61, 10):
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k = N-2
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print('%iC%i =' % (N, k), comb(N, k, exact), end=', ' if N % 50 else '\n')
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exact=False
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print('\n\nSample Perms 5..1500 Using FP approximations')
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for N in [5, 15, 150, 1500, 15000]:
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k = N-2
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print('%iP%i =' % (N, k), perm(N, k, exact))
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print('\nSample Combs 100..1000 Using FP approximations')
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for N in range(100, 1001, 100):
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k = N-2
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print('%iC%i =' % (N, k), comb(N, k, exact))
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