find the power of set a =(2 ,4,6)
Answers
Answer:
Number of elements in set = n(B) = 3 . Therefore, Number of elements in power set = 2^n(B) = 2^3 = 8 .
Step-by-step explanation:
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Answer:
In set theory, the power set (or powerset) of a Set A is defined as the set of all subsets of the Set A including the Set itself and the null or empty set. It is denoted by P(A). Basically, this set is the combination of all subsets including null set, of a given set.
P(A) = { ( ᵠ ), (2,4,6), (2), (3), (6), (2,4), (2,6), (4,6) }
Step-by-step explanation:
Let the given set be A
Number of elements in the powerset of A=(2, 4, 6)
2ⁿ where n is the number of elements in set A.
number of elements in Powerset of A
or
nP(A) = 2³ = 8
therefore,
P(A) = { ( ᵠ ), (2,4,6), (2), (3), (6), (2,4), (2,6), (4,6) }