심심해서 프로그램을 짜서 검사를 해봤습니다.

사칙연산으로 2,3,4,10 만들기는 모든 경우에 가능합니다.

불가능한 조합
0: 1468,1479,1579,3678,3789,4568,4678,4689,5679,5789
1: 1478,1489,1578,1679,1689
5: 1569,4579,4589
6: 6789
7: 1378,3457,4678,4789
8: 1378,1389,1589,3568,5678,5789
9: 1389,1589,3459,4569,4789,6789
11: 1347,1457,1678,2368,2579,3589
12: 1578
13: 1459,1568,1569,1578,1579,1789,2568,2589,3479,3567
14: 1369,1458,1459,1568,1589,1689,3678,4589
15: 1378,1679,1689,3789,4679,5689
16: 1379,1567,1679,3789
17: 1389,1456,1479,1569,1589,1678,1679,2468,2567,2689,3457,3468,3589,4789,5789
18: 1348,1357,1678,3458,3478,4578
19: 1235,1278,1349,1589,1678,1679,1789,2469,3469,4579
20: 1467,1567,1589,1789,3569,5689
21: 1289,1457,1459,1468,1789,2468,2578,3578,4579,6789
22: 1289,1458,1469,1479,1789,2378,2457,2568,2679,3458,3489,3679,4578,4789,5689,5789
23: 1235,1267,1369,1459,1469,1578,1579,1678,2359,2458,2589,2789,3567,5678,5679
24: 1678,3467

1234 다 곱해도 24밖에 안되니 25이상은 패스