Q2

MCQ1 mark, −0.33

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

(A)

For any subsets $A$ and $B$ of $X, |f(A \cup B)| = |f(A)| + |f(B)|$

(B)

For any subsets $A$ and $B$ of $X, f(A \cap B) = f(A) \cap f(B)$

(C)

For any subsets $A$ and $B$ of $X, |f(A \cap B)| = \min \{|f(A)|, |f(B)|\}$

(D)

For any subsets $S$ and $T$ of $Y, f^{-1}(S \cap T) = f^{-1}(S) \cap f^{-1}(T)$

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