Counting the set itself and the empty set, there are 2^10 = 1024 subsets.
If A Set Has 10 Elements How Many Subsets Are There?
1024
1024
Answer: There are 824 subsets in a set of 10 elements.
Number of elements 0=1subset, 1=2subsets, 2=4subsets, 3=8subsets, 4=16subsets, and so on. The pattern just continues. If you are looking for the proper subset the answer is always 1 less than the number of subsets. The reason for this is you can't count the complete set as a proper subset of itself, because it contains ALL the same elements.
Number of elements 0=1subset, 1=2subsets, 2=4subsets, 3=8subsets, 4=16subsets, and so on. The pattern just continues. If you are looking for the proper subset the answer is always 1 less than the number of subsets. The reason for this is you can't count the complete set as a proper subset of itself, because it contains ALL the same elements.