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NIELIT 2017 July Scientist B (IT) - Section B: 10
Lakshman Patel RJIT
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Set Theory & Algebra
Mar 30, 2020
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Oct 23, 2020
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Krithiga2101
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What is the Cartesian product of $A=\{1,2\}$ and $B=\{a,b\}$?
$\{(1,a),(1,b),(2,a),(b,b)\}$
$\{(1,1),(2,2),(a,a),(b,b)\}$
$\{(1,a),(2,a),(1,b),(2,b)\}$
$\{(1,1),(a,a),(2,a),(1,b)\}$
nielit2017july-scientistb-it
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Lakshman Patel RJIT
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Set Theory & Algebra
Mar 30, 2020
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Krithiga2101
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Lakshman Patel RJIT
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Apr 2, 2020
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Option C
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$A=\left\{1,2\right\}$
$B=\left\{a,b\right\}$
$A\times B=\left\{(1,a),(1,b),(2,a),(2,b)\right\}$
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.
Hira Thakur
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May 23, 2021
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Answer:
C
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