先排百位数字:有9种方法;再排十位数字:有9种方法;最后排个位数字:也有8种方法。
所以共能组成9×9×8=648个三位数。
分析:因为百位不能排0,所以百位有9种选择。十位因为百位占去一个数字,所以是9种。个位因为十位和百位都占去一个数字,所以是8种。
所有的组合如下:
1、1开头的三位数:
2、2开头的三位数:
3、3开头的三位数:
4、4开头的三位数:
5、5开头的三位数:
6、6开头的三位数:
7、7开头的三位数:
8、8开头的三位数:
9、9开头的三位数:
以上便所有组合数字。
这是要干吗?我编程算的:
012, 013, 014, 015, 016, 017, 018, 019, 021, 023, 024, 025, 026, 027, 028, 029,
031, 032, 034, 035, 036, 037, 038, 039, 041, 042, 043, 045, 046, 047, 048, 049,
051, 052, 053, 054, 056, 057, 058, 059, 061, 062, 063, 064, 065, 067, 068, 069,
071, 072, 073, 074, 075, 076, 078, 079, 081, 082, 083, 084, 085, 086, 087, 089,
091, 092, 093, 094, 095, 096, 097, 098, 102, 103, 104, 105, 106, 107, 108, 109,
120, 123, 124, 125, 126, 127, 128, 129, 130, 132, 134, 135, 136, 137, 138, 139,
140, 142, 143, 145, 146, 147, 148, 149, 150, 152, 153, 154, 156, 157, 158, 159,
160, 162, 163, 164, 165, 167, 168, 169, 170, 172, 173, 174, 175, 176, 178, 179,
180, 182, 183, 184, 185, 186, 187, 189, 190, 192, 193, 194, 195, 196, 197, 198,
201, 203, 204, 205, 206, 207, 208, 209, 210, 213, 214, 215, 216, 217, 218, 219,
230, 231, 234, 235, 236, 237, 238, 239, 240, 241, 243, 245, 246, 247, 248, 249,
250, 251, 253, 254, 256, 257, 258, 259, 260, 261, 263, 264, 265, 267, 268, 269,
270, 271, 273, 274, 275, 276, 278, 279, 280, 281, 283, 284, 285, 286, 287, 289,
290, 291, 293, 294, 295, 296, 297, 298, 301, 302, 304, 305, 306, 307, 308, 309,
310, 312, 314, 315, 316, 317, 318, 319, 320, 321, 324, 325, 326, 327, 328, 329,
340, 341, 342, 345, 346, 347, 348, 349, 350, 351, 352, 354, 356, 357, 358, 359,
360, 361, 362, 364, 365, 367, 368, 369, 370, 371, 372, 374, 375, 376, 378, 379,
380, 381, 382, 384, 385, 386, 387, 389, 390, 391, 392, 394, 395, 396, 397, 398,
401, 402, 403, 405, 406, 407, 408, 409, 410, 412, 413, 415, 416, 417, 418, 419,
420, 421, 423, 425, 426, 427, 428, 429, 430, 431, 432, 435, 436, 437, 438, 439,
450, 451, 452, 453, 456, 457, 458, 459, 460, 461, 462, 463, 465, 467, 468, 469,
470, 471, 472, 473, 475, 476, 478, 479, 480, 481, 482, 483, 485, 486, 487, 489,
490, 491, 492, 493, 495, 496, 497, 498, 501, 502, 503, 504, 506, 507, 508, 509,
510, 512, 513, 514, 516, 517, 518, 519, 520, 521, 523, 524, 526, 527, 528, 529,
530, 531, 532, 534, 536, 537, 538, 539, 540, 541, 542, 543, 546, 547, 548, 549,
560, 561, 562, 563, 564, 567, 568, 569, 570, 571, 572, 573, 574, 576, 578, 579,
580, 581, 582, 583, 584, 586, 587, 589, 590, 591, 592, 593, 594, 596, 597, 598,
601, 602, 603, 604, 605, 607, 608, 609, 610, 612, 613, 614, 615, 617, 618, 619,
620, 621, 623, 624, 625, 627, 628, 629, 630, 631, 632, 634, 635, 637, 638, 639,
640, 641, 642, 643, 645, 647, 648, 649, 650, 651, 652, 653, 654, 657, 658, 659,
670, 671, 672, 673, 674, 675, 678, 679, 680, 681, 682, 683, 684, 685, 687, 689,
690, 691, 692, 693, 694, 695, 697, 698, 701, 702, 703, 704, 705, 706, 708, 709,
710, 712, 713, 714, 715, 716, 718, 719, 720, 721, 723, 724, 725, 726, 728, 729,
730, 731, 732, 734, 735, 736, 738, 739, 740, 741, 742, 743, 745, 746, 748, 749,
750, 751, 752, 753, 754, 756, 758, 759, 760, 761, 762, 763, 764, 765, 768, 769,
780, 781, 782, 783, 784, 785, 786, 789, 790, 791, 792, 793, 794, 795, 796, 798,
801, 802, 803, 804, 805, 806, 807, 809, 810, 812, 813, 814, 815, 816, 817, 819,
820, 821, 823, 824, 825, 826, 827, 829, 830, 831, 832, 834, 835, 836, 837, 839,
840, 841, 842, 843, 845, 846, 847, 849, 850, 851, 852, 853, 854, 856, 857, 859,
860, 861, 862, 863, 864, 865, 867, 869, 870, 871, 872, 873, 874, 875, 876, 879,
890, 891, 892, 893, 894, 895, 896, 897, 901, 902, 903, 904, 905, 906, 907, 908,
910, 912, 913, 914, 915, 916, 917, 918, 920, 921, 923, 924, 925, 926, 927, 928,
930, 931, 932, 934, 935, 936, 937, 938, 940, 941, 942, 943, 945, 946, 947, 948,
950, 951, 952, 953, 954, 956, 957, 958, 960, 961, 962, 963, 964, 965, 967, 968,
970, 971, 972, 973, 974, 975, 976, 978, 980, 981, 982, 983, 984, 985, 986, 987
最全的?
你自己一个一个排列出来就行了
每个数字打头然后挨个挑选剩下的数字
穷举法就是这样的
呵呵……有448种那么多,怎么举啊!自己排吧,用穷举法。