Combination question

1. Nov 30, 2013

martine

Hello,

I'm trying to solve a combination problem and am uncertain what kind of combination exercise this is. It's not school work, but something I came across in my free time, and I'm somewhat stuck...

I have three pots, each with 20 balls.
I want to create all combinations possible by always taking one ball out of each pot and always using all three pots which remain in the same order, resulting in
pot1_a pot2_A pot3_1
pot1_a pot2_A pot3_2
pot1_a pot2_A pot3_3
...
pot1_t pot2_T pot3_20
(_a to _t is the 20 balls in pot1, etc)

What kind of combination technique is this
Is there an easy way to output all combinations into Excel or libre office calc, or an online solver that really gives all combinations? If I know the exact name of this calculation and know what represents what in the equation I could search myself, but at the moment I'm at a loss

2. Nov 30, 2013

Simon Bridge

Is there something distinguishing the balls?
i.e. are each of the balls numbered?

If so, then it's just normal counting.
You can see how it goes if you imagine that the balls in pot 1 are red, pot 2 are white, and the ones in pot 3 are blue.