1 . 将五名大学生分配到某乡镇的三个村就职.若每个村至少一名,则不同的分配方案数为__________ .
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2014高三·四川·竞赛
2 . 设在
的方格表的第
行第
列所填的数为
,
.则表中共有五个1的填表方法总数为______ (用具体数字作答).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/954253b16a82489bb0e152543428c68a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7600d2cfbdc6146db96cc545706004f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cea71f85df9370063f74aadff1989f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70bd4029c61d2f61aec6aa83cd59d730.png)
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3 . 对四位数
,若
,
,
,则称
为
类数;若
,
,
,则称
为
类数.用
与
分别表示
类数与
类数的个数.则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1666aedeadcd6ac8f68c53703730eddf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d70009d48ea5ed5e20cc5eff3d557e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44cbc322861846709c08c7f1da746848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4054642985ca4d40a8c895b8d33d7b14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46196aec06c25d5c8f9b1d3a8f50a889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcf7adcc976209d4b686156120bea276.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4054642985ca4d40a8c895b8d33d7b14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3964e3e1ff692a54337c09bae03b8fa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cc6f4ed260ca0182defbbb510022360.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19313076bdfba512f5695a98608e77a5.png)
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4 . 将
的每一个全排列均视为一个八位数.则其中是11倍数的八位数的个数为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/522d48d1b2e1651eeabb8abf583c395b.png)
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2014高三·安徽·竞赛
5 . 从正12边形的顶点中取出四个顶点,其两两不相邻的概率为_______ .
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6 . 红、蓝、绿、白四个色子,每个色子的六个面上的数字分别为1、2、3、4、5、6.同时掷这四个色子使得四个色子朝上的数的乘积等于36,共有__________ 种可能.
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7 . 已知数列
共有100项,满足
,
且
.则符合条件的不同数列有______ 个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1bae03ee4ac75dacfb026290e4207dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f85848e4c6855626325442a011d2a641.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcc113e4a1b40f9624e3c9c8649fdb77.png)
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