If A = 1, 2, 3 ; B = 3, 4, 5 ; C = 4, 6 , then A (B )=? - Vidyadip

MCQ

If A = {1, 2, 3}; B = {3, 4, 5}; C = {4, 6}, then $\text{A}\times(\text{B}\cap\text{C})=?$

A
{(2, 4)(1, 4)}
B
{(2, 4)(3, 4)(5, 6)}
C
{(1, 4)(2, 4)(3, 4)}
D
None of these

✓

Answer

{(1, 4)(2, 4)(3, 4)}

Solution:

Given,

A = {1, 2, 3}

B = {3, 4, 5}

C = {4, 6}

Now, $\text{B}\cap\text{C}=\{{4\}}$

$\therefore\text{A}\times(\text{B}\cap\text{C})=\{(1,4),(2,4),(3,4)\}$

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