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IPMAT Indore 2022 - QA (SA) Q8 Explanation
December 26, 2024
Explanation
(16)
Power set of A set is set of all the subsets of given set. If a set contains n elements, total no. of sub-sets will be equal 2^n.
| Set | No. of Elements | No. of Subsets (2ⁿ) |
|---|---|---|
| A | 0 | 2^0 =1 = No. of elements in P(A) |
| P(A) | 1 | 2^1 = 2 = No. of elements in P(P(A)) |
| P(P(A)) | 2 | 2^2 = 4 = No. of elements in P(P(P(A)) |
| P(P(P(A))) | 4 | 2^4 = 16 = No. of elements in P(P(P(P(A)))) |