{5,-8,11,-14,17,-20,23}的真子集列举
1、集合A为7个元素,列举该集合的全部子集。

2、含1个元素的子集,此时有7个子集,具体如下:
A3={5},A4={-8},A5={11};
A6={-14},A7={17},A8={-20};
A9={23};

3、有2个元素的子集情况,此时个数为C(7,2)=21个,
A10={5,-8},A11={5,11},A12={5,-14};
A13={5,17},A14={5,-20},A15={5,23};
A16={-8,11},A17={-8,-14},A18={-8,17};
A19={-8,-20},A20={-8,23},A21={11,-14};
A22={11,17},A23={11,-20},A24={11,23};
A25={-14,17},A26={-14,-20},A27={-14,23};
A28={17,-20},A29={17,23},A30={-20,23};

4、此时个数为C(7,3)=35个,列举如下:
A31={5,-8,11},A32={5,-8,-14},A33={5,-8,17};
A34={5,-8,-20},A35={5,-8,23},A36={5,11,-14};
A37={5,11,17},A38={5,11,-20},A39={5,11,23};
A40={5,-14,17},A41={5,-14,-20},A42={5,-14,23};
A43={5,17,-20},A44={5,17,23},A45={5,-20,23};
A46={-8,11,-14},A47={-8,11,17},A48={-8,11,-20};
A49={-8,11,23},A50={-8,-14,17},A51={-8,-14,-20};
A52={-8,-14,23},A53={-8,17,-20},A54={-8,17,23};
A55={-8,-20,23},A56={11,-14,17},A57={11,-14,-20};
A58={11,-14,23},A59={11,17,-20},A60={11,17,23};
A61={11,-20,23},A62={-14,17,-20},A63={-14,17,23};
A64={-14,-20,23}, A65={17,-20,23};

5

6、※.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={5,-8,11,-14},A67={5,-8,11,17};
A68={5,-8,11,-20}, A69={5,-8,11,23};
A70={5,-8,-14,17},A71={5,-8,-14,-20};
A72={5,-8,-14,23},A73={5,-8,17,-20};
A74={5,-8,17,23}, A75={5,-8,-20,23};
A76={5,11,-14,17}, A77={5,11,-14,-20};
A78={5,11,-14,23}, A79={5,11,17,-20};
A80={5,11,17,23}, A81={5,11,-20,23};
A82={5,-14,17,-20}, A83={5,-14,17,23};
A84={5,-14,-20,23}, A85={5,17,-20,23};
A86={-8,11,-14,17}, A87={-8,11,-14,-20};
A88={-8,11,-14,23}, A89={-8,11,17,-20};
A90={-8,11,17,23}, A91={-8,11,-20,23};
A92={-8,-14,17,-20}, A93={-8,-14,17,23};
A94={-8,-14,-20,23}, A95={-8,17,-20,23};
A96={11,-14,17,-20}, A97={11,-14,17,23};
A98={11,-14,-20,23}, A99={11,17,-20,23};
A100={-14,17,-20,23};

7

8、※.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={5,-8,11,-14,17}, A102={5,-8,11,-14,-20};
A103={5,-8,11,-14,23}, A104={5,-8,11,17,-20};
A105={5,-8,11,17,23}, A106={5,-8,11,-20,23};
A107={5,-8,-14,17,-20}, A108={5,-8,-14,17,23};
A109={5,-8,-14,17,23}, A110={5,-8,17,-20,23};

9、A111={5,11,-14,17,-20}, A112={5,11,-14,17,23};
A113={5,11,-14,-20,23}, A114={5,11,17,-20,23};
A115={5,-14,17,-20,23}, A116={-8,11,-14,17,-20};
A117={-8,11,-14,17,23}, A118={-8,11,-14,-20,23};
A119={-8,11,17,-20,23}, A120={-8,-14,17,-20,23};
A121={11,-14,17,-20,23};

10、※.有6个元素的子集情况,此时个数为C(7,6)=C(7,1)=7个,列举如下:
A122={5,-8,11,-14,17,-20};
A123={5,-8,11,-14,17,23};
A124={5,-8,11,-14,-20,23};
A125={5,-8,11,17,-20,23};
A126={5,-8,-14,17,-20,23};
A127={5,11,-14,17,-20,23};
A128={-8,11,-14,17,-20,23}。
