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将所有满足各位数字恰好依次增大的四位数按从小到大的顺序排成一行:1234,1235…6789,则此数列中的第98个数是多少?...
将所有满足各位数字恰好依次增大的四位数按从小到大的顺序排成一行:1234,1235…6789,则此数列中的第98个数是多少?
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1234,1235,1236,1237,1238,1239,1245,1246,1247,1248,1249,1256,1257,1258,1259,1267,1268,1269,1278,1279,1289;(21)
1345,1346,1347,1348,1349,1356,1357,1358,1359,1367,1368,1369,1378, 1379,1389;(15)
1456,1457,1458,1459,1467,1468,1469,1478,1479,1489;(10)
1567,1568,1569,1578,1579,1589;(6)
1678,1679,1689; (3)
1789;(1)
2345,2346,2347,2348,2349,2356,2357,2358,2359,2367,2368,2369,2378,2379,2389;(15)
2456,2457,2458,2459,2467,2468,2469,2478,2479,2489;(10)
2567,2568,2569,2578,2579,2589;(6)
2678,2679,2689;(3)
2789;(1)
3456,3457,3458,3459,3467,3468,【3469】,3478,3479,3489;(10)
3567,3568,3569,3578,3579,3589;(6)
3678,3679,3689;(3)
3789;(1)
4567,4568,4569,4578,4579,4589;(6)
4678,4679,4689;(3)
4789;(1)
5678,5679,5689;(3)
5789;(1)
6789.(1)
所以第98个数字是3469.
1345,1346,1347,1348,1349,1356,1357,1358,1359,1367,1368,1369,1378, 1379,1389;(15)
1456,1457,1458,1459,1467,1468,1469,1478,1479,1489;(10)
1567,1568,1569,1578,1579,1589;(6)
1678,1679,1689; (3)
1789;(1)
2345,2346,2347,2348,2349,2356,2357,2358,2359,2367,2368,2369,2378,2379,2389;(15)
2456,2457,2458,2459,2467,2468,2469,2478,2479,2489;(10)
2567,2568,2569,2578,2579,2589;(6)
2678,2679,2689;(3)
2789;(1)
3456,3457,3458,3459,3467,3468,【3469】,3478,3479,3489;(10)
3567,3568,3569,3578,3579,3589;(6)
3678,3679,3689;(3)
3789;(1)
4567,4568,4569,4578,4579,4589;(6)
4678,4679,4689;(3)
4789;(1)
5678,5679,5689;(3)
5789;(1)
6789.(1)
所以第98个数字是3469.
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