有红、黄、蓝三种球,其中红球3个,黄球3个,蓝球6个。现将这12个球放在黑盒中从中任意取出8个球,编写程序计算这8个球的各种颜色搭配
时间: 2024-03-06 22:46:35 浏览: 162
好的,以下是一个简单的 Python 代码,用来计算从红球、黄球和蓝球中选出8个的所有可能颜色搭配:
```python
import itertools
# 将红、黄、蓝球分别存储到不同的列表中
red_balls = ['红球1', '红球2', '红球3']
yellow_balls = ['黄球1', '黄球2', '黄球3']
blue_balls = ['蓝球1', '蓝球2', '蓝球3', '蓝球4', '蓝球5', '蓝球6']
# 从三种颜色的球中各选一个球的所有可能性
one_red = list(itertools.combinations(red_balls, 1))
one_yellow = list(itertools.combinations(yellow_balls, 1))
one_blue = list(itertools.combinations(blue_balls, 1))
# 从三种颜色的球中各选两个球的所有可能性
two_red = list(itertools.combinations(red_balls, 2))
two_yellow = list(itertools.combinations(yellow_balls, 2))
two_blue = list(itertools.combinations(blue_balls, 2))
# 从三种颜色的球中各选三个球的所有可能性
three_red = list(itertools.combinations(red_balls, 3))
three_yellow = list(itertools.combinations(yellow_balls, 3))
three_blue = list(itertools.combinations(blue_balls, 3))
# 将所有可能性合并成一个列表
all_combinations = one_red + one_yellow + one_blue + two_red + two_yellow + two_blue + three_red + three_yellow + three_blue
# 遍历所有可能性,找出8个球的颜色搭配
count = 0
for combination in itertools.combinations(all_combinations, 8):
red_count = 0
yellow_count = 0
blue_count = 0
for ball in combination:
if ball in red_balls:
red_count += 1
elif ball in yellow_balls:
yellow_count += 1
elif ball in blue_balls:
blue_count += 1
if red_count == 3 and yellow_count == 3 and blue_count == 2:
print(combination)
count += 1
print(f'共计{count}种颜色搭配')
```
这个程序会输出所有符合条件的颜色搭配,以及符合条件的颜色搭配的数量。注意,这个程序只是一个简单的示例,可能并不是最优解。
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