【留学深造】一道中学竞赛题2012 Australian Mathematics Competition Junior Q27
How many four-digit numbers containing no zeros have the property that whenever any one of its four digits is removed, the resulting three-digit number is divisible by 3?
我是这么想的,如果是任意删除一位数字,余下的部分还能被3整除,那么只能是3,6,9这几个数
ABCD 四位数,每次都有3种选择,所以 3 x 3 x 3 x 3 = 81
可答案是243,想不明白,望高人指点
该帖荣获当日十大第8,奖励楼主4分以及6华新币,时间:2015-07-15 22:00:03。
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