Python解决排列组合

1 . 笛卡尔积：itertools.product(*iterables[, repeat])
2. 排列：itertools.permutations(iterable[, r])
3. 组合：itertools.combinations(iterable, r)
4. 组合（包含自身重复）：itertools.combinations_with_replacement(iterable, r)

笛卡尔积：itertools.product(*iterables[, repeat])

import itertools
for i in itertools.product('BCDEF', repeat = 2):
    print(''.join(i),end=",")
print('\n')
 
# 输出 BB BC BD BE BF CB CC CD CE CF DB DC DD DE DF EB EC ED EE EF FB FC FD FE FF

两个元组进行笛卡尔积：

import itertools
a = (1, 2)
b = ('A', 'B', 'C')
c = itertools.product(a,b)
for i in c:
    print(i,end=",")
 
# 输出(1, 'A') (1, 'B') (1, 'C') (2, 'A') (2, 'B') (2, 'C')

排列：itertools.permutations(iterable[, r])

import itertools
for i in itertools.permutations('BCD', 2):
    print(''.join(i),end=",")
# 输出 BC BD CB CD DB DC
print('\n')

import itertools
for i in itertools.permutations('BCD', 3):
    print(''.join(i),end=",")
# 输出 BCD,BDC,CBD,CDB,DBC,DCB,
print('\n')

组合：itertools.combinations(iterable, r)

import itertools
for i in itertools.combinations('BCDEF', 2):
    print(''.join(i),end=" ")
# 输出 BC BD BE BF CD CE CF DE DF EF
print('\n')

import itertools
for i in itertools.combinations('BCDEF', 4):
    print(''.join(i),end=" ")
# 输出 BCDE BCDF BCEF BDEF CDEF 
print('\n')

组合（包含自身重复）：itertools.combinations_with_replacement(iterable, r)

import itertools
for i in itertools.combinations_with_replacement('ABC', 3):
    print (''.join(i),end=' ')
 
 # 输出 AAA AAB AAC ABB ABC ACC BBB BBC BCC CCC
print('\n')

举例

'BCDEF五个字母组合问题'
import itertools
 
print("1个组合：")
for i, val in enumerate(list(itertools.combinations('BCDEF', 1))):
    print("序号：%s   值：%s" % (i + 1, ''.join(val)))
print("2个组合：")
for i, val in enumerate(list(itertools.combinations('BCDEF', 2))):
    print("序号：%s   值：%s" % (i + 1, ''.join(val)))
print("3个组合：")
for i, val in enumerate(list(itertools.combinations('BCDEF', 3))):
    print("序号：%s   值：%s" % (i + 1, ''.join(val)))
print("4个组合：")
for i, val in enumerate(list(itertools.combinations('BCDEF', 4))):
    print("序号：%s   值：%s" % (i + 1, ''.join(val)))
print("5个组合：")
for i, val in enumerate(list(itertools.combinations('BCDEF', 5))):
    print("序号：%s   值：%s" % (i + 1, ''.join(val)))

学习来源