A set with 9 elements has 2^9 = 512 subsets.
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Well honey, the set {1, 2, 3, 4, 5, 6, 7, 8, 9} has 9 elements, so it will have 2^9 subsets, including the empty set and the set itself. That's a grand total of 512 subsets. Math can be sassy too, you know!
Well, honey, the number of subsets in a set with 9 elements is given by 2 to the power of 9, which equals 512. So, there are 512 subsets in the set {1, 2, 3, 4, 5, 6, 7, 8, 9}. Don't worry, I double-checked it just for you.
It belongs to many many subsets including: {sqrt(13)}, The set of square roots of integers The set of square roots of primes The set of square roots of numbers between 12 and 27 {3, -9, sqrt(13)} The set of irrational numbers The set of real numbers
Counting the null set, you can make 236 = 68,719,476,736 subsets. This assumes that you do not mean group in the context of Group Theory because to answer that it would be necessary to have more information about the 36 elements and the binary operation defined for the group.
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