# Figure Out Possible Combinations

I am trying to figure out how many possible of combinations I can have between two sets of values. My two sets looks like this:

Set 1: [White, Black] Set 2: [Blue, BlueGreen, Brown, Orange, Pink, Purple, Red, Yellow, YellowGreen]

Set 1 has two options. Set 2 has ten options. Someone must pick one option from each set. How do I figure out how many potential combinations there are? I'm not sure if I need to do 2 * 10 and then use permutations. Or if I should do 2! then add it to 10!.

I count $9$ in set $2$. But assume $10$, add Violet. Combinations is perhaps too abstract. If we are only going to wear pants and shirt, and have $2$ pants (white, black) and $10$ shirts, then there are $2\cdot 10$ "outfits." – André Nicolas Mar 20 '12 at 19:34
If you pick one item from each set, you have two choices for the first and ten for the second, $2*10=20$ in all. If you pick all the items from the first set in a particular order and all the items from the second in a particular order you have $2!*10!=7257600$