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Ingy döt Net 2023-07-01 11:58:00 -04:00
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Task/Combinations-and-permutations/J/combinations-and-permutations-1.j Normal file
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C=: !
P=: (%&!&x:~ * <:)"0

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Task/Combinations-and-permutations/J/combinations-and-permutations-2.j Normal file
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P table 1+i.12
┌──┬─────────────────────────────────────────────────────────────┐
│P │1 2 3 4 5 6 7 8 9 10 11 12│
├──┼─────────────────────────────────────────────────────────────┤
│ 1│1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600│
│ 2│0 1 3 12 60 360 2520 20160 181440 1814400 19958400 239500800│
│ 3│0 0 1 4 20 120 840 6720 60480 604800 6652800 79833600│
│ 4│0 0 0 1 5 30 210 1680 15120 151200 1663200 19958400│
│ 5│0 0 0 0 1 6 42 336 3024 30240 332640 3991680│
│ 6│0 0 0 0 0 1 7 56 504 5040 55440 665280│
│ 7│0 0 0 0 0 0 1 8 72 720 7920 95040│
│ 8│0 0 0 0 0 0 0 1 9 90 990 11880│
│ 9│0 0 0 0 0 0 0 0 1 10 110 1320│
│10│0 0 0 0 0 0 0 0 0 1 11 132│
│11│0 0 0 0 0 0 0 0 0 0 1 12│
│12│0 0 0 0 0 0 0 0 0 0 0 1│
└──┴─────────────────────────────────────────────────────────────┘
C table 10+10*i.6x
┌──┬─────────────────────────────────────────────────────────────────┐
│C │10 20 30 40 50 60│
├──┼─────────────────────────────────────────────────────────────────┤
│10│ 1 184756 30045015 847660528 10272278170 75394027566│
│20│ 0 1 30045015 137846528820 47129212243960 4191844505805495│
│30│ 0 0 1 847660528 47129212243960 118264581564861424│
│40│ 0 0 0 1 10272278170 4191844505805495│
│50│ 0 0 0 0 1 75394027566│
│60│ 0 0 0 0 0 1│
└──┴─────────────────────────────────────────────────────────────────┘
5 P 100
7.77718e155
100 P 200
8.45055e216
300 P 400
2.09224e254
700 P 800
3.18349e287
5 C 100
75287520
100 C 200
9.05485e58
300 C 400
2.24185e96
700 C 800
3.41114e129