you can make at least 25 sums
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There is an infinite amount of numbers that can sum up to 24. Only 23, if you are just counting positive numbers.
average function
Infinitely many. Start with sums of two whole numbers: 5+4, 6+3, 7+2, 8+1, 9+0, 10+(-1), 11+(-2), ... and infinitely more. Then consider numbers to one decimal place (dp): 4.5+4.5, 4.6+4.4, 4.7+4.3, and infinitely more of those. And then numbers with 2 dp, 3 dp, ... infinitely many dp. Next, consider sums of 3 numbers, 4 numbers, 5 numbers, ... , infinitely many numbers - in each case using numbers with 1 dp, 2 dp, 3 dp, ... infinitely many dp. When you have done all those you can start with multiplications. And then move on to other mathematical operations.
No function will add numbers up and divide the total by zero, as it is a mathematical impossibility to divide by zero. If your question meant to say that you want to divide by the amount of numbers that were summed to make the total, then the function is the AVERAGE function.
Partial sums is actually use for addition while partial products is used for multiplication. With partial sums, numbers above nine are added together in the tens, hundreds, etc. columns first. Individual sums are then added together for the final sum.