iran-konkur 2013 Q146

iran-konkur · Other · konkur-riazi_1392 Combinations & Selection Subset Counting with Set-Theoretic Conditions
146- If $A = \{2k-1 \mid k \in \mathbb{Z},\, 1 \leq k \leq 5\}$ and $B = \{k \in \mathbb{Z} : |k-3| \leq 2\}$, then the set $(A \times B) \cap (B \times A)$ has how many elements?
(1) $6$ (2) $8$ (3) $9$ (4) $16$
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\textbf{146-} If $A = \{2k-1 \mid k \in \mathbb{Z},\, 1 \leq k \leq 5\}$ and $B = \{k \in \mathbb{Z} : |k-3| \leq 2\}$, then the set $(A \times B) \cap (B \times A)$ has how many elements?

(1) $6$ \qquad (2) $8$ \qquad (3) $9$ \qquad (4) $16$

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