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106. If set A has n elements, then number of functions that can be defined from A into A is
n2
n!
nn
n
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107. If f : Z → Z be defined as f(x) = x2 , x ∈ Z, then function f is
bijection
injection
surjection
None of these
108. 'Subset' relation on a set of sets is
a partial ordering
an equivalence relation
transitive and symmetric only
transitive and anti-symmetric only
109. The correspondence f : N → N is such that
f(x) = y and for x= p1e1, p2e2,...pkek where pi are distinct primes and integers ei>1, if y = ei + e2 +...+ek, then
f is not a function
f is an onto function
f is an 1 - 1 function
f is neither 1 - 1 nor onto function
110. If P(A) be the collection of all subsets of A = {a, b, c} and R be a relation defined as "x is disjoint from y" over P(A), then number of elements in R is
8
9
17
11
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