Let A={1,2,3}, B={3,4} and C={4,5,6} . Find A ×(B cup C)

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2.Relations and Functions

easy

Let $A=\{1,2,3\}, B=\{3,4\}$ and $C=\{4,5,6\} .$ Find

$A \times(B \cup C)$

A

$\{ (1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,3),(3,4),(3,5),(3,6)\} $

B

$\{ (1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,3),(3,4),(3,5),(3,6)\} $

C

$\{ (1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,3),(3,4),(3,5),(3,6)\} $

D

$\{ (1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,3),(3,4),(3,5),(3,6)\} $

Solution

Since, $\quad( B \cup C)=\{3,4,5,6\},$ we have

$A \times (B \cup C) = \{ (1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,3),$

$(3,4),(3,5),(3,6)\} $

Standard 11

Mathematics

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