Set Theory and Algebra GATE 2014 Question #9963 with Solution

GATE 2014 · session-3

Engineering MathematicsSet Theory and AlgebraeasyMCQ1 mark

Let X and Y be finite sets and f:X→Y be a function. Which one of the following statements is TRUE?

AFor any subsets A and B of X, |f(A∪B)|=|f(A)|+|f(B)|.BFor any subsets A and B of X, f(A∩B)=f(A)∩f(B).CFor any subsets A and B of X, |f(A∩B)|=min{|f(A)|,|f(B)|}.DFor any subsets S and T of Y, f⁻¹(S∩T)=f⁻¹(S)∩f⁻¹(T).

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