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Intersection of Sets

Let A=x : x i...

Question

Let $A = {x : x is a natural number and a factor of 18}$ and
$B = {x : x is a natural number and less than 6}$ .
If $A \cap B = {a, b, c}$ , then the value of $a + b + c$ is

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Solution

$A = {1, 2, 3, 6, 9, 18}$
$B = {1, 2, 3, 4, 5}$
$\Rightarrow A \cap B = {1, 2, 3} ∴ a + b + c = 1 + 2 + 3 = 6$

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Intersection of Sets

Standard XII Mathematics

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