Modern Math - Sets - Previous Year IPM/BBA Questions
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ipm
Let P(X) denote power set of a set X. If A is the null set, then the number of elements in P(P(P(P(A)))) is _________.
Solution
Discuss
ReportLet A = {1, 2, 3} and B = {a, b}. Assuming all relations from set A to set B are equally likely, what is the probability that a relation from A to B is also a function?
- (a)
1/8
- (b)
1/2
- (c)
1
- (d)
32/26
Let A and B be two sets such that the Cartesian product A × B consists of four elements. If two elements of A × B are (1,4) and (4,1), then
- (a)
None of these
- (b)
A × B ≠ B × A
- (c)
∅ ∈ A × B
- (d)
A × B = B × A
Let the set = {2,3,4,..., 25}. For each k ∈ P, define Q(k) = {x ∈ P such that x > k and k divides x}. Then the number of elements in the set P − Q(k) is