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Battleship game combinatorics

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Ship sizes Number of configurations
on a 10×10 board
2 3 4 5
1
1 180
2 13952
3 614372
4 17086631
1 160
1 1 23864
2 1 1512096
3 1 53606768
4 1 1179864432
2 10124
1 2 1230092
2 2 62495628
3 2 1745117572
4 2 29650630088
3 330840
1 3 32094960
2 3 1278079616
3 3 27395120928
4 3 348892008792
1 140
1 1 20072
2 1 1219008
3 1 41283320
4 1 864647388
1 1 16896
1 1 1 1966664
2 1 1 95386968
3 1 1 2532545416
4 1 1 40721312760
2 1 786968
1 2 1 72831964
2 2 1 2755256320
3 2 1 55828223540
4 2 1 668256987440
3 1 18382184
1 3 1 1320017704
2 3 1 37880082192
3 3 1 567343768064
4 3 1 4871721743520
2 6996
1 2 779752
2 2 36085692
3 2 910464972
4 2 13847185918
1 2 619136
1 1 2 54625952
2 1 2 1961767760
3 1 2 37549258992
4 1 2 422118615240
2 2 20505284
1 2 2 1396400720
2 2 2 37804399592
3 2 2 530879625444
4 2 2 4242772005768
3 2 328511112
1 3 2 16757986408
2 3 2 330360758520
3 3 2 3268821509016
4 3 2 17707810153184
1 120
1 1 16528
2 1 961464
3 1 31086744
4 1 619268128
1 1 13808
1 1 1 1538520
2 1 1 71194112
3 1 1 1796509352
4 1 1 27329683408
2 1 610688
1 2 1 53879808
2 2 1 1935562696
3 2 1 37068246456
4 2 1 417017581256
3 1 13477504
1 3 1 918108728
2 3 1 24872048856
3 3 1 349608204104
4 3 1 2797606827136
1 1 11360
1 1 1 1211008
2 1 1 53413832
3 1 1 1279310984
4 1 1 18385007248
1 1 1 954544
1 1 1 1 80194520
2 1 1 1 2731237000
3 1 1 1 49341382288
4 1 1 1 520599890368
2 1 1 29852632
1 2 1 1 1925751392
2 2 1 1 49143133528
3 2 1 1 646677411848
4 2 1 1 4808897160408
3 1 1 448574416
1 3 1 1 21536631136
2 3 1 1 397108468832
3 3 1 1 3647432090016
4 3 1 1 18170989432520
2 1 371048
1 2 1 29660864
2 2 1 957045912
3 2 1 16298373712
4 2 1 161138941144
1 2 1 21906376
1 1 2 1 1337029984
2 1 2 1 32111473656
3 1 2 1 395146057864
4 1 2 1 2726362307664
2 2 1 462924032
1 2 2 1 20886349672
2 2 2 1 359461539224
3 2 2 1 3056118386176
4 2 2 1 13949906853080
3 2 1 4488051160
1 3 2 1 143891605904
2 3 2 1 1693472099056
3 3 2 1 9404689335808
4 3 2 1 26509655816984

References