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If order doesn't matter, 15 combinations and if order does matter, 360 combinations are possible.
You have 6 choices of cards, two possibilities with the coin and 6 numbers on the cube. The number of combinations is : 6 x 2 x 6 = 72.
There are 18*17*16/6 = 816 of them!
If the numbers can be repeated and the numbers are 0-9 then there are 1000 different combinations.
If the order of the numbers are important, then this is a simple combination problem. There are 10 possible numbers to choose from for the first number. Then there are 9 options for the second number. Then there are 8 options for the third, and so on. Thus, the number of possible combinations can be calculated as 10x9x8x7x6x5. This comes out at 151,200 possible combinations.