5 subsets of 4 and of 1, 10 subsets of 3 and of 2 adds up to 30.
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Well, honey, a set with "n" elements has 2 to the power of "n" subsets. So, if you've got a set with 5 elements, you're looking at 2 to the power of 5, which is 32 subsets. Math doesn't have to be boring, darling!
For example, if we have a set of numbers called A which has 3 members(in our case numbers): A={2,5,6} this set has 8 subsets (2^3) which are as follow: the empty set: ∅ {2},{5},{6} {2,5},{2,6},{5,6} {2,5,6}
A set of four elements has 24 subsets, since for every element there are two options: it may, or may not, be in a subset. This set of subsets includes the empty set and the original set, and everything in between.
Since there are 9 members in the given set there will be 29 = 512 subsets and I have neither the time nor inclination to list all 512 of them. A subset of the given set is any set all of whose members are members of the given set. This includes the null set. To start off: Null, {1}, {3}, {6}, etc {1,3}, {1,6}, {1,12}, etc {1,3,6}, (1,3,12}, etc etc
There are 16 subsets: {0, 5, 7, 12}, {0, 5, 7}, {0, 5, 12}, {0, 7, 12}, {5, 7, 12}, {0, 5}, {0, 7}, {0, 12}, {5, 7}, {5, 12}, {7, 12}, {0], {5}, {7}, {12}, and the empty set.