NIELIT 2017 July Scientist B (IT) - Section B: 10

Question

What is the Cartesian product of $A=\{1,2\}$ and $B=\{a,b\}$?

• A. $\{(1,a),(1,b),(2,a),(b,b)\}$
• B. $\{(1,1),(2,2),(a,a),(b,b)\}$
• C. $\{(1,a),(2,a),(1,b),(2,b)\}$
• D. $\{(1,1),(a,a),(2,a),(1,b)\}$

Comments

Option C

Answer 1

$A=\left\{1,2\right\}$

$B=\left\{a,b\right\}$

$A\times B=\left\{(1,a),(1,b),(2,a),(2,b)\right\}$

The above operation performed on sets $A$ and $B$ is called Cartesian Product, which is defined as:

$A\times B=\left\{(a,b)\mid a \in A \land b\in B\right\}$

Option $(C)$ is correct.