Cages with 1 squares
Total
Combinations
1
1
2
2
3
3
4
4
5
5
6
6
7
7
8
8
9
9
Cages with 2 squares
Total
Combinations
3
12
4
13
5
14
23
6
15
24
7
16
25
34
8
17
26
35
9
18
27
36
45
10
19
28
37
46
11
29
38
47
56
12
39
48
57
13
49
58
67
14
59
68
15
69
78
16
79
17
89
Cages with 3 squares
Total
Combinations
6
123
7
124
8
125
134
9
126
135
234
10
127
136
145
235
11
128
137
146
236
245
12
129
138
147
156
237
246
345
13
139
148
157
238
247
256
346
14
149
158
167
239
248
257
347
356
15
159
168
249
258
267
348
357
456
16
169
178
259
268
349
358
367
457
17
179
269
278
359
368
458
467
18
189
279
369
378
459
468
567
19
289
379
469
478
568
20
389
479
569
578
21
489
579
678
22
589
679
23
689
24
789
Cages with 4 squares
Total
Combinations
10
1234
11
1235
12
1236
1245
13
1237
1246
1345
14
1238
1247
1256
1346
2345
15
1239
1248
1257
1347
1356
2346
16
1249
1258
1267
1348
1357
1456
2347
2356
17
1259
1268
1349
1358
1367
1457
2348
2357
2456
18
1269
1278
1359
1368
1458
1467
2349
2358
2367
2457
3456
19
1279
1369
1378
1459
1468
1567
2359
2368
2458
2467
3457
20
1289
1379
1469
1478
1568
2369
2378
2459
2468
2567
3458
3467
21
1389
1479
1569
1578
2379
2469
2478
2568
3459
3468
3567
22
1489
1579
1678
2389
2479
2569
2578
3469
3478
3568
4567
23
1589
1679
2489
2579
2678
3479
3569
3578
4568
24
1689
2589
2679
3489
3579
3678
4569
4578
25
1789
2689
3589
3679
4579
4678
26
2789
3689
4589
4679
5678
27
3789
4689
5679
28
4789
5689
29
5789
30
6789
Cages with 5 squares
Total
Combinations
15
12345
16
12346
17
12347
12356
18
12348
12357
12456
19
12349
12358
12367
12457
13456
20
12359
12368
12458
12467
13457
23456
21
12369
12378
12459
12468
12567
13458
13467
23457
22
12379
12469
12478
12568
13459
13468
13567
23458
23467
23
12389
12479
12569
12578
13469
13478
13568
14567
23459
23468
23567
24
12489
12579
12678
13479
13569
13578
14568
23469
23478
23568
24567
25
12589
12679
13489
13579
13678
14569
14578
23479
23569
23578
24568
34567
26
12689
13589
13679
14579
14678
23489
23579
23678
24569
24578
34568
27
12789
13689
14589
14679
15678
23589
23679
24579
24678
34569
34578
28
13789
14689
15679
23689
24589
24679
25678
34579
34678
29
14789
15689
23789
24689
25679
34589
34679
35678
30
15789
24789
25689
34689
35679
45678
31
16789
25789
34789
35689
45679
32
26789
35789
45689
33
36789
45789
34
46789
35
56789
Cages with 6 squares
Total
Combinations
21
123456
22
123457
23
123458
123467
24
123459
123468
123567
25
123469
123478
123568
124567
26
123479
123569
123578
124568
134567
27
123489
123579
123678
124569
124578
134568
234567
28
123589
123679
124579
124678
134569
134578
234568
29
123689
124589
124679
125678
134579
134678
234569
234578
30
123789
124689
125679
134589
134679
135678
234579
234678
31
124789
125689
134689
135679
145678
234589
234679
235678
32
125789
134789
135689
145679
234689
235679
245678
33
126789
135789
145689
234789
235689
245679
345678
34
136789
145789
235789
245689
345679
35
146789
236789
245789
345689
36
156789
246789
345789
37
256789
346789
38
356789
39
456789
Cages with 7 squares
Total
Combinations
28
1234567
29
1234568
30
1234569
1234578
31
1234579
1234678
32
1234589
1234679
1235678
33
1234689
1235679
1245678
34
1234789
1235689
1245679
1345678
35
1235789
1245689
1345679
2345678
36
1236789
1245789
1345689
2345679
37
1246789
1345789
2345689
38
1256789
1346789
2345789
39
1356789
2346789
40
1456789
2356789
41
2456789
42
3456789
Cages with 8 squares
Total
Combinations
36
12345678
37
12345679
38
12345689
39
12345789
40
12346789
41
12356789
42
12456789
43
13456789
44
23456789
Cages with 9 squares
Total
Combinations
45
123456789