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{0.43,0.57,-0.43,0.72,-0.57,2.01}的子集

时间:2025-01-17 12:44:54

1、 集合A为6个元素,为0.43,0.57,-0.43,0.72,-0.57,2.01,通过穷举法列举该集合的全部子集。

{0.43,0.57,-0.43,0.72,-0.57,2.01}的子集

2、 含1个元素的子集,此时该集合有6个子集,具体列举如下:

{0.43,0.57,-0.43,0.72,-0.57,2.01}的子集

3、含2个元素的子集,6个元素中选出2个,此时有子集个数=C(6,2)=15个。

{0.43,0.57,-0.43,0.72,-0.57,2.01}的子集

4、6个元素中选出3个,含3个元素的子集,此时有子集个数=C(6,3)=20个。

{0.43,0.57,-0.43,0.72,-0.57,2.01}的子集
{0.43,0.57,-0.43,0.72,-0.57,2.01}的子集

5、4个元素的子集,6个元素中选出4个,此时有子集个数=C(6,4)=C(6,2)=15个。

{0.43,0.57,-0.43,0.72,-0.57,2.01}的子集
{0.43,0.57,-0.43,0.72,-0.57,2.01}的子集

6、含5个元素的子集,6个元素中选出5个,此时有子集个数=C(6,5)=C(6,1)=6个。

{0.43,0.57,-0.43,0.72,-0.57,2.01}的子集

7、结论小结:集合A的子集及真子集情况为:1)根据上述,集合A的真子集为:Ø,A1-A6,B1-B15,C1-C20,D1-D15,E1-E6,共计63个。2)集合A的子集的个数为64个,即其真子集加上集合A本身。

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