An infinity:
1,01+ 1,99+ 8+ 8
1,02+ 1,98+ 8+ 8
or
(-1)+ 1+ 9+ 10
And you can add more decimal spaces and/or negative numbers.
I believe the question was badly asked (I think you meant WHOLE numbers [0,1,2] with non-negative integers).
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7
To find six numbers that average out to 4, we can use the formula for calculating averages: Average = (Sum of all numbers) / (Total number of numbers). Since we have six numbers, the sum of all numbers must be 6 * 4 = 24. To evenly distribute this sum, we can choose the numbers 3, 3, 4, 4, 5, and 5. Their sum is 24, and when divided by 6, the average is indeed 4.
There are 165 of them and I do not have the patience to list them all.
8
There are two ambiguities in this question. First, the numbers 0 through 9 could mean integers or real numbers. If you meant real numbers the answer is infinite, so I presume you mean integers. More to the point, it depends on whether you are only counting combinations of 4 different numbers or allowing duplications (like 4, 4, 5, 5).