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Since there are 10 numbers to fill 4 spots, each spot would have 10 choices for which number would fill it. We have (10)(10)(10)(10)=1000.
10! permutations of the word "Arithmetic" may be made.
Not counting negative numbers (which would give you an infinite number of ways of adding numbers together to equal 10), there are 6 different ways (permutations) of adding numbers together to equal 10. 0 + 10 1 + 9 2 + 8 3 + 7 4 + 6 5 + 5
90
There are a huge number of combinations of 5 numbers when using the numbers 0 through 10. There are 10 to the 5th power combinations of these numbers.