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Calculate the number of subsets and the number of proper subsets for the given set. XEN and 12

User Xazen
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Final answer:

The set S has 19 elements; therefore, it has 2^19 subsets and 2^19 - 1 proper subsets. The number of outcomes in subset A is 9, but this doesn't provide the number of subsets for A.

Step-by-step explanation:

To calculate the number of subsets and the number of proper subsets for a given set, you can employ the formulas related to set theory. For a set S with n elements, the total number of subsets is 2n and the number of proper subsets is 2n - 1 (since a proper subset cannot be the set itself). Referring to solution 3.1a, the set S contains 19 elements.

The number of subsets for set S is 219, and the number of proper subsets for set S is 219 - 1.

Regarding the subset A, mentioned in solution 3.1b, the number of outcomes in A is given as 9, which doesn't directly answer the question about the number of subsets but informs about the size of subset A.

User David Barda
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