{5,-8,11,-14,17,-20,23}的真子集列举

2025-11-19 16:12:02

1、集合A为7个元素,列举该集合的全部子集。

{5,-8,11,-14,17,-20,23}的真子集列举

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};

{5,-8,11,-14,17,-20,23}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={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};

{5,-8,11,-14,17,-20,23}的真子集列举

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,-8,11,-14,17,-20,23}的真子集列举

5

{5,-8,11,-14,17,-20,23}的真子集列举

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};

{5,-8,11,-14,17,-20,23}的真子集列举

7

{5,-8,11,-14,17,-20,23}的真子集列举

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};

{5,-8,11,-14,17,-20,23}的真子集列举

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};

{5,-8,11,-14,17,-20,23}的真子集列举

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}。

{5,-8,11,-14,17,-20,23}的真子集列举

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