ADVERTISEMENT
The set of all possible subsets of a set S is called the power set of S, written as P(S).
Examples ⇒
The power set of { ‘a’ } is { ∅, {‘a’} }
The power set of { 2, 3 } is { ∅, {2}, {3}, {2,3} }
The power set of {1, 2, 3 } is { ∅, {1}, {2}, {3}, {1,2}, {1,3}, {2,3}, {1,2,3} }
If there are n members in a set S i.e. cardinality of set |S| = n, then there are 2n subsets possible.
Hence the power set would contain 2n elements. Or we can say that the cardinality of the power set is |P| is 2n.
Extrachromosomal DNA (ecDNA) is a new frontier in cancer genetics, driving drug resistance and opening doors to targeted therapies.
Unravel the secrets of celestial objects, including black holes, pulsars, and neutron stars.
Unravel the mysteries of the universe’s birth and evolution, from the Big Bang to star formation. Explore the scientific evidence and ongoing research in this captivating field.
Conquer the CBSE Board Exams 2025 with our guide! Learn effective study strategies, time management tips, and overcome exam anxiety for success.
De Morgan’s First Law The complement of the union of two sets is equal to the intersection of their complements i.e. (A ∪ B )' = A' ∩ B' De Morgan’s Second Law The complement of the intersection of two sets is equal to the union of their complements i.e. (A ∩ B )’ =...
A cartesian product between two sets is defined as the set consisting of all possible ordered pairs that can be formed by taking one element from each of the sets at a given time. If A and B are two sets such that a ∈ A and b ∈ B, then the cartesian product between A...
An ordered pair is a 2-tuple formed by taking two elements (generally numbers but can be alphabets, characters, words, or symbols). The general form of representation is (a, b) where a and b represent two distinct objects. The important thing with ordered pairs is...
0 Comments