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58问答库 > 用012345这六个数字能组成多少个无重复数字且比1325大的四位数

用012345这六个数字能组成多少个无重复数字且比1325大的四位数

2025-03-26 07:12:49

推荐回答（2个）

回答（1）：

0做个位的有5x4x3x2x1=120个，5做个位的有4x4x3x2x1=96个，
一共120+96=216个无重复数字的5的倍数的五位数。
比1325小的四位数是10xx和12xx，1320和1324，1302，1304，1305共有3x2+3x2+5=17个，
所以比1325大的四位数有96-17=79个。

回答（2）：

分3种情况，即3类。1.)千位排2,3,4,5,任一个，后边任意排，即A4 1*A5 3=240;2.)千位排1,百位排4或5,后两位从剩下的4个数任选两个，即A2 1*A4 2=24.3.)千位是1，百位是3,十位是4或5,个位从剩下的0,2,5中任选一个。即C2 1*C3 1=6.
所以共有240+24+6=270（个）

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