Q. If $A = \left\{ 1,\ 2,\ 3 \right\},\ B = \{ a,\ b\}$, then $A \times B$ mapped $A$ to $B$is
A) $\{(1,\ a),\ (2,\ b),\ (3,\ b)\}$
B) $\{(1,\ b),\ (2,\ a)\}$
C) $\{(1,\ a),\ (1,\ b),\ (2,\ a),\ (2,\ b),\ (3,\ a),\ (3,\ b)\}$
D) $\{(1,\ a),\ (2,\ a),\ (2,\ b),\ (3,\ b)\}$
Explanation
(c)
Given, $A = \left\{ 1,\ 2,\ 3 \right\},\ B = \{ a,\ b\}$
$\therefore\ \ \ \ A \times B = \{(1,\ a),\ (1,\ b),\ (2,\ a),\ (2,\ b),\ (3,\ a),\ (3,\ b)\}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.