1 . 从![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0876215b2fd463d151523cd3c6b447.png)
个不同小球(其中
个白球,1个黑球)中取出![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
个球共有
种不同取法,还可换一个角度考虑:若取出
个球全是白球,则有
种不同取法,若取出
个球中含有黑球,则有
种不同取法,从而共有
种不同取法.因此,可以得到组合恒等式:
.请你运用类比推理的方法,可以得到排列恒等式:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f02c0091e4c7ebc83fdc70ba8fc5c901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/591b7da02481c28da213e7de2ec22528.png)
____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0876215b2fd463d151523cd3c6b447.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/391bd47f0e344b04b4e68dd49820ad00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ab815b39bae01dd30d795797118c560.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05948c353ef5982589fa76ffd49b9e34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7707aba7b9fed2c8e4704b82ce09087a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be0850c83021fe83174c8230ae6c0a48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d75269a6d04243864e5336299c2a3e5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d58e156528b8ccf19816d5c403ce218e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f02c0091e4c7ebc83fdc70ba8fc5c901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/591b7da02481c28da213e7de2ec22528.png)
您最近一年使用:0次
名校
2 . 定义“规范01数列”
如下:
共有
项,其中
项为0,
项为1,且对任意
,
中0的个数不少于1的个数.若
,则不同的“规范01数列”共有____ 个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fad491e5b5e14c49ef8b7004ebcfcef9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc07a2896f77eeb801584bcd92ff3791.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41dd42e4f493477fb0f36137893d4d06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/711b21672fd907c5c92fee1d649e7003.png)
您最近一年使用:0次
2018-02-27更新
|
1035次组卷
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7卷引用:江苏省南京师范大学附属中学2022届高三下学期2月开学考试数学试题
江苏省南京师范大学附属中学2022届高三下学期2月开学考试数学试题(已下线)专题1排列数运算 (提升版)上海市华东师范大学第一附属中学2022-2023学年高二上学期期末数学试题高中数学人教A版选修2-3 第一章 计数原理 1.2.1 排列上海市虹口区北虹高级中学2018-2019学年高二下学期期末数学试题上海市晋元高级中学2017届高三上学期期中数学试题(已下线)上海市华东师范大学第二附属中学2021届高三下学期三月月考数学试题
名校
3 . 将五个
,五个
,五个
,五个
,五个
共
个数填入一个
行
列的表格内(每格填入一个数),使得同一行中任何两数之差的绝对值不超过
,考查每行中五个数之和,记这五个和的最小值为
,则
的最大值为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06fc7811f9525e8b8c833746d6af5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2017-04-12更新
|
1490次组卷
|
3卷引用:数学-2022届高三下学期开学摸底考试卷B(理科)(新课标专用)
(已下线)数学-2022届高三下学期开学摸底考试卷B(理科)(新课标专用)2017届北京市西城区高三4月统一测试(一模)数学理试卷【全国百强校】北京市第八中学少年班2016-2017学年高一下学期期末考试数学试题