Final answer:
The set {0,1,2...9} consists of 1024 subsets, including the set itself, and 1023 proper subsets, which exclude the set itself.
Step-by-step explanation
Number of Subsets and Proper Subsets
To calculate the number of subsets for the set {0,1,2...9}, we can use the formula 2^n, where n is the number of elements in the set. Since there are 10 elements (0 through 9), there will be 2^10 subsets, which equals 1024 subsets. To find the number of proper subsets, we subtract 1 from the total number of subsets since a proper subset cannot be the set itself, leaving us with 1023 proper subsets.
In summary, the set {0,1,2...9} has 1024 subsets (including the set itself) and 1023 proper subsets.