Only a set can have subsets. there is no set identified in the question.
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{1,2,4.7} is a proper subset of {1, 2, 3, 4, 4.7, 5}
{-1, 0, 1, 2, 3, 4}
Note that an empty set is included for the set of 11 numbers. That is 1 subset. Since order doesn't matter for this type of situation, we count the following number of subsets. 1-item subset: 11 choose 1 2-item subset: 11 choose 2 3-item subset: 11 choose 3 4-item subset: 11 choose 4 5-item subset: 11 choose 5 6-item subset: 11 choose 6 7-item subset: 11 choose 7 8-item subset: 11 choose 8 9-item subset: 11 choose 9 10-item subset: 11 choose 10 11-item subset: 11 choose 11 Note that the pattern of these values follows the Fibonacci sequence. If we add all of these values and 1 altogether, then you should get 2048 subsets that belong to the given set {1,2,3,4,5,6,7,8,9,10,11}. Instead of working out with cases, you use this form, which is 2ⁿ such that n is the number of items in the set. If there is 11 items in the set, then there are 211 possible subsets!
For example the set of all numbers which are integer multiples of 4 is a subset of all the numbers exactly divisible by 2.
Let A be the set {1, 2, 3, 4}Let B be the set {1, 3}Let C be the set {1, 2, 4, 5}From this, we can say that B is a subset of A because all of the members of B are also members of A. In other words... B can be made up by selecting some of the pieces of A (in this case, 1 and 3). Note that C is not a subset of A because you cannot create C by selecting some parts of A. This is because C includes the number 5 and A doesn't.