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Define power set of a Set....

Define power set of a Set.

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Knowledge Check

  • The relation 'is subset of' on the power set P(A) of a set A is :

    A
    symmetric
    B
    anti-symmetric
    C
    equivalence relation
    D
    None of these

  • In P(X), the power set of a nonempty set X, a binary operation* is defined by A^(**)B=AuuBAA A,B inP(X) . Under * a TRUE statement is

    A
    inverse law is not satisfied
    B
    identity law is not satisfied
    C
    associative law is not satisfied
    D
    commutative law is not satisfied.

  • Two finite sets have m and n elements. The Number of elements is the power set of first set is 48 more than the power set of second set. Then(m, n) =

    A
    (7, 6)
    B
    (6, 3)
    C
    (6, 4)
    D
    (7, 4)

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    If A = phi , then the number elements in P(A), (i.e., the number of elements in the power set of A) is

    If A={phi,{phi}} , then the power set of A is :

    Define ** on the set of real number by a ** b = 1 + ab . Then the operation ** is

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