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Intersection of Sets

Let A=0,1,2,3...

Question

Let $A = {0, 1, 2, 3, 4, 5}$ , $B = {2, 4, 6, 8}$ , $C = {2, 3, 5, 7}$ , then the number of element(s) in $(A \cap B) \cap C$ is

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Solution

Given
$A = {0, 1, 2, 3, 4, 5}$
$B = {2, 4, 6, 8}$
$C = {2, 3, 5, 7}$
$A \cap B = {2, 4}$
$(A \cap B) \cap C = {2}$

Therefore, number of element $= 1$

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Intersection of Sets

Standard XIII Mathematics

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