Scheduling Combinatorics Quiz

[Ether]

Originally Posted by Nate Laverdure

3 teams per alliance?
2 alliances per match?

Yes. FRC.

[EricVanWyk]

Spoiler for Lazy Approach:

(40 Choose 3)(37 Choose 3)/2
(39 Choose 2)(37 Choose 3)
(38 Choose 1)(37 Choose 3)
(38 Choose 2)(36 Choose 2)

[Ether]

Originally Posted by EricVanWyk

.

Nicely done !

Spoiler for 1, 3, & 4 could also be calculated using::

1) ₄₀C₆*₆C₃/2

2) same as yours

3) (ans#2)(2)/39

4) (ans#2)(3)/39