/vr/ - Retro Games

My copy of Chrono Trigger for the SNES up and vanished one day, maybe like 8 years after I originally got it back in 1995

It's still a mystery to me.

I've been thinking about party combinations lately.

There's a total of seven characters who can be in a party at any time, and a party consists of three of those characters. That means there's a lot of possible parties you can have, but how many exactly is that?

I realized it's a simple combinatorics problem, where you have a set of seven objects and you're choosing a combination of three. The formula for determining all possible combinations is the formula:

C(n,m) = n!/[(n-m)!*m!]

where n is the number of objects and m is the number of objects being chosen for each combination. If we choose n = 7 and m = 3, that gives us

C(7,3) = 7!/[(7-3)*3!] = 35

Meaning you can have a total of 35 different possible party combinations.