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8 outcomes are possible in this situtation. You just have to multiply 4 by 2 to get the answer.
2^4 = 16
Use Pascal's Triangle Answer is 14641 different outcomes. - - - - 1 - - - 1 - 1 - - 1 - 2 - 1 - 1 - 3 - 3 - 1 1 - 4 - 6 - 4 - 1
It depends what you mean by outcome. If you are interested in the total number of different outcomes, then there are 6 x 6 x 6 x 6 or 1296 unique possible outcomes. If you are only interested in the total (the sum) of the resulting roll, it can be anything from 4 to 24 so there are just 21 possible outcomes.
There are sixteen different outcomes. To figure this you multiply the number of possible outcomes for each coin, which is 2 for all of them. So you take 2^4 which comes out to 16.