阶乘和排列组合

rex posted @ Aug 09, 2010 09:29:31 AM in 离散数学 with tags python , 2234 readers

代码如下: 

#!/usr/bin/python
# -*- coding: utf-8 -*-
#
#author:         rex
#blog:           http://iregex.org
#filename        8.1.py
#created:        2010-08-09 00:16

F={1:1,0:1}
def factorial(n):
    n=int(n)
    global F
    if F.has_key(n):
        return F[n]
    else:
        F[n]=n*factorial(n-1)   
        return F[n]

#P(n,k)=n!/(n-k)!
def P(n,k):
    if k>n:
        return 0
    elif k==n:
        return factorial(k)
    else:
        return factorial(n)/factorial(n-k)

def C(n,k):
    return factorial(n)/factorial(k)/factorial(n-k)

 

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