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Let S be an infinite set and S_{1}, S_{2}, ... S_{n} be sets such that S_{1} ∪ S_{2} ∪ .... ∪ S_{n} = S. Then
Let A be a finite set of size n. The number of elements in the power set of A x A is
The number of elements in the power set P(S) of the set S = {(φ), 1, (2, 3)} is:
Suppose X and V are sets and X and Y are their respective cardinalities. It is given that there are exactly 97 functions from X to Y. From this one can conclude that
Suppose A is a finite set with n elements. The number of elements in the Largest equivalence relation of A is
The number of functions from an m element set to an n element set is
The number of binary relations on a set with n elements is
The binary relation S = f (empty set) on set A = {1,2, 3} is
The number of different n x n symmetric matrices with each element being either 0 or 1 is: [Note: power (2, x) is same as 2X]
The set {1, 2, 3, 5, 7, 8, 9} under multiplication modulo 10 is not a group. Given below are four possible reasons. Which one of them is false?
23 docs285 tests

23 docs285 tests
