If I've understood correctly, it's this:
2^3 ways to pick from the 3 assigned games.
37C14 possible sets of 14 matches from the remaining 37.
2^14 ways to pick from your chosen 14 matches.
17C3 ways of assigning the 3 key picks from your 17.
Then multiply all these together:
https://www.wolframalpha.com/input/?...l%2817%2C+3%29
= 544318295113728000
Juk
Last edited by jukofyork; 12-31-2021 at 08:39 AM.
Reason: Added answer