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問題的種類

數學 高中

從1到9選出四個不重複的數字,組成一個四位數,且必須是3的倍數,共有多少種排法?

Select [Permutations 选择 [排列 [Range [1, 9], {4}], Mod [FromDigits [#], 3] == [范围 [模余[根据数字构建数 {1, 2, 3,6}, {1, 2, 3, 9}, {1, 2, 4, 5}, {1, 2, 4, 8}, {1, 2, 5, 4}, {1, 2, 5, 7}, {1, 2, 6, 3}, {1, 2, 6, 9}, {1, 4, 7, 6}, {1, 4, 7, 9}, {1, 5, 2, 4}, {1, 5, 2, 7}, {1, 4, 8, 2}, {1, 5, 3, 6}, {1, 5, 6, 9}, {1, 5, 4, 8}, {1, 5, 6, 3}, {1, 5, 8, 4}, {1, 5, 8, 7}, {1, 5, 9, 3}, {1, 2, 7, 5}, {1, 2,7,8}, {1, 2, 8, 4}, {1, 2, 8, 7}, {1, 2, 9, 3}, {1, 2,9,6}, {1, 3, 2, 6}, {1, 3, 2, 9}, {1, 3, 4, 7}, {1, 3, 5, 6}, {1, 3, 5, 9}, {1, 3,6, 2}, {1, 3, 6, 5}, {1, 3, 6, 8}, {1, 3, 7, 4}, {1, 3, 8,6}, {1, 3, 8, 9}, {1, 3,9, 2}, {1, 3, 9, 5}, {1, 3, 9, 8}, {1, 4, 2, 5}, {1, 4, 2, 8}, {1, 4, 3, 7}, {1, 4, 5, 2}, {1, 4, 5, 8}, {1, 4, 6, 7}, {1, 4, 7, 3}, {1, 4, 8, 5}, {1, 4, 9, 7}, {1, 5, 3, 9}, {1, 5, 4, 2}, {1, 5,7, 2}, {1, 5, 7, 8}, {1, 5,9,6}, {1, 6, 2,3}, {1, 6, 2, 9}, {1, 6, 3, 2}, {1, 6, 3, 5}, {1, 6, 3,8}, {1, 6, 4, 7}, {1, 6, 5, 3}, {1, 6, 5, 9}, {1, 6, 7, 4}, {1, 6, 8,3}, {1, 6, 8, 9}, {1, 6, 9, 2}, {1, 6, 9, 5}, {1, 6, 9,8}, {1, 7, 2, 5}, {1, 7, 2, 8}, {1, 7, 3, 4}, {1, 7, 4, 3}, {1, 7, 4, 6}, {1, 7, 4, 9}, {1, 7, 5, 2}, {1, 7, 5,8}, {1, 7, 6, 4}, {1, 7, 8, 2), {1,7,8, 5}, {1, 7, 9, 4}, {1, 8, 2, 4}, {1, 8, 2, 7}, {1, 8, 3, 6}, {1, 8, 3,9}, {1, 8, 4,2}, {1, 8, 4, 5}, {1, 8, 5, 4}, {1, 8, 5, 7}, {1,8,6,3}, {1, 8,6,9}, {1, 8,7,2}, {1, 8,7, 5}, {1,8,9,3) (1,8,9,6}, {1, 9, 2,3}, {1, 9, 2,6}, {1, 9, 3, 2), (1,9, 3, 5), (1,9,3,8}, {1,9,4,7}, {1,9,5,3}, {1, 9,5,6), (1,9,6,2), (1,9,6,5}, {1,9,6,8}, (1,9,7,4), (1,9,8,3), (1,9.8.6), (2, 1, 3, 6), (2, 1, 3, 9), (2, 1, 4, 5), (2, 1, 4, 8), (2, 1, 5, 4) 12 15 71 (2 1 6 31 12 1 691 (71 (7

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