从1、2、3、4、5、6、7、8、9中选出3个数的和是3的倍数,有多少种选法?
推荐回答(5个)
1、2、3、4、5、6、7、8、9按除以3的余数的不同分为3组:
余数为1:1、3、7
余数为2:2、5、8
整出除:3、6、9
要选出3个数的和是3的倍数,要么在同组选3个,要么在3组各选一个。
同组选3个选法有3种
要么在3组各选一个选法有3*3*3=27
选出3个数的和是3的倍数,有30种选法
最小的数为1+2+3=7,最大的数为7+8+9=24
所有的数应为【7,24】
是3倍数的有9,12,15,21,24
所以应该是5种选法
这九个数的和是45
要是3的倍数那么就应该能除以3
所以你从中选2个数而这2个数的和是3的倍数就可以了
有8种
1,2
1,5
1,8
2,4
2,7
3,6
3,9
4,5
123 126 129 135 138 147 156 159 168 189
234 237 246 249 258 267 279
345 348 357 369 378
456 459 468
567 579
678
789
一共29个
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从1,2,3,4,5,6,7,8,9,中任意选出3个数,和它...
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