All Possible Outcomes Question
 

How do I figure out how many possible different (unique) outcomes there could be with this problem:

10 people are flipping 10 different coins 1 time each.

All coins could be heads, or all could be tails, or any mix thereof. Each coin is unique (coin #1, #2, etc. etc.)

Edited for clarity.

Re: All Possible Outcomes Question
 

2^10 represents the total number of posible cominations. Is that what you are looking for?

Re: All Possible Outcomes Question
 

KJL is correct that it is 2^10 = 1,024 given that each coin is unique. If the coins are fair, each outcome is equally likely. If the coins weren't unique, if you only cared about the number of heads, there are 11 possible outcomes, with differing probabilities.