• if there are 7 power sources, and you own 4 of them

From uglyvan@21:1/5 to All on Tue Mar 3 02:46:16 2020
Le samedi 29 février 2020 21:16:59 UTC+1, uglyvan a écrit :
then, how many combinations are there ?

1 Arcane
2 Divine
3 Elemental
4 Martial
5 Primal
6 Psionics

1234
1235
1236
1237
1245
1246
1247
1256
1257
1267
1345
1346
1347
1456
1457
1567
2345
2346
2347
2356
2357
2367
2456
2457
2467
2567
3456
3457
3467
3567
4567

( hopefully I didn't miss any combo lol )

the idea here is that we all share at least one power source :)

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• From tkerruish@yahoo.com@21:1/5 to All on Tue Mar 3 09:14:19 2020
To be more explicit, there are 35, which is 7 choose 4. You have 7 choices for the first power, 6 for the second, 5 for the third, and 4 for the fourth; as the ordering does not matter, you have overcounted by a factor of 24, which is 4 factorial.
Consequently, the answer is (7×6×5×4)/(4×3×2×1) = 840/24 = 35.

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