集合{3,-6,9,-12,15,-18,21}的真子集列举

时间:2024-11-03 22:24:08

1、集合A为7个元素,列举该集合的全部子集。

集合{3,-6,9,-12,15,-18,21}的真子集列举

2、含1个元素的子集,此时有7个子集,具体列举如下:A3={3},A4={-6},A5={9};A6={-12},A7={15},A8={-18};A9={21};

集合{3,-6,9,-12,15,-18,21}的真子集列举

3、有2个元素的子集情况,此时个数为C(7,2)=21个,A10={3,-6},A11={3,9},A12={3,-12};A13={3,15},A14={3,-18},A15={3,21};A16={-6,9},A17={-6,-12},A18={-6,15};A19={-6,-18},A20={-6,21},A21={9,-12};A22={9,15},A23={9,-18},A24={9,21};A25={-12,15},A26={-12,-18},A27={-12,21};A28={15,-18},A29={15,21},A30={-18,21};

集合{3,-6,9,-12,15,-18,21}的真子集列举

4、此时个数为C(7,3)=35个,列举如下:A31={3,-6,9},A32={3,-6,-12},A33={3,-6,15};A34={3,-6,-18},A35={3,-6,21},A36={3,9,-12};A37={3,9,15},A38={3,9,-18},A39={3,9,21};

集合{3,-6,9,-12,15,-18,21}的真子集列举

5、A40={3,-12,15},A41={3,-12,-18},A42={3,-12,21};A43={3,15,-18},A44={3,15,21},A45={3,-18,21};A46={-6,9,-12},A47={-6,9,15},A48={-6,9,-18};

集合{3,-6,9,-12,15,-18,21}的真子集列举

6、A49={-6,9,21},A50={-6,-12,15},A51={-6,-12,-18};A52={-6,-12,21},A53={-6,15,-18},A54={-6,15,21};A55={-6,-18,21},A56={9,-12,15},A57={9,-12,-18};A58={9,-12,21},A59={9,15,-18},A60={9,15,21};A61={9,-18,21},A62={-12,15,-18},A63={-12,15,21};A64={-12,-18,21}, A65={15,-18,21};

7、有4个元素的子集情况,此时个数为C(7,4)=C(7,3)=35个,列举如下:A66={3,-6,9,-12},A67={3,-6,9,15};A68={3,-6,9,-18}, A69={3,-6,9,21};A70={3,-6,-12,15},A71={3,-6,-12,-18};A72={3,-6,-12,21},A73={3,-6,15,-18};

8、A74={3,-6,15,21}, A75={3,-6,-18,21};A76={3,9,-12,15}, A77={3,9,-12,-18};A78={3,9,-12,21}, A79={3,9,15,-18};A80={3,9,15,21}, A81={3,9,-18,21};

集合{3,-6,9,-12,15,-18,21}的真子集列举

9、A82={3,-12,15,-18}, A83={3,-12,15,21};A84={3,-12,-18,21}, A85={3,15,-18,21};A86={-6,9,-12,15}, A87={-6,9,-12,-18};A88={-6,9,-12,21}, A89={-6,9,15,-18};A90={-6,9,15,21}, A91={-6,9,-18,21};

10、A92={-6,-12,15,-18}, A93={-6,-12,15,21};A94={-6,-12,-18,21}, A95={-6,15,-18,21};A96={9,-12,15,-18}, A97={9,-12,15,21};A98={9,-12,-18,21}, A99={9,15,-18,21};A100={-12,15,-18,21};

集合{3,-6,9,-12,15,-18,21}的真子集列举

11、有5个元素的子集情况,此时个数为C(7,5)=C(7,2)=21个,列举如下:A101={3,-6,9,-12,15}, A102={3,-6,9,-12,-18};A103={3,-6,9,-12,21}, A104={3,-6,9,15,-18};A105={3,-6,9,15,21}, A106={3,-6,9,-18,21};A107={3,-6,-12,15,-18}, A108={3,-6,-12,15,21};A109={3,-6,-12,15,21}, A110={3,-6,15,-18,21};

集合{3,-6,9,-12,15,-18,21}的真子集列举

12、A111={3,9,-12,15,-18}, A112={3,9,-12,15,21};A113={3,9,-12,-18,21}, A114={3,9,15,-18,21};A115={3,-12,15,-18,21}, A116={-6,9,-12,15,-18};A117={-6,9,-12,15,21}, A118={-6,9,-12,-18,21};A119={-6,9,15,-18,21}, A120={-6,-12,15,-18,21};A121={9,-12,15,-18,21};

集合{3,-6,9,-12,15,-18,21}的真子集列举

13、A122={3,-6,9,-12,15,-18};A123={3,-6,9,-12,15,21};A124={3,-6,9,-12,-18,21};A125={3,-6,9,15,-18,21};A126={3,-6,-12,15,-18,21};A127={3,9,-12,15,-18,21};A128={-6,9,-12,15,-18,21}。

集合{3,-6,9,-12,15,-18,21}的真子集列举
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