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Chapter 13: Q. 2. (page 868)

If $n (A) = 8, n (B) = 12,$ and $n (A \cap B) = 3,$ find $n (A \cup B) .$

Short Answer

Expert verified

The final answer is $17$ .

Step by step solution

01

Step 1. Given information.

The given information is -

$n (A) = 8 n (B) = 12 n (A \cap B) = 3$

02

Step 2. Find nA∪B.

To find we apply the theorem of counting formula.

$n (A \cup B) = n (A) + n (B) - n (A \cap B) = 8 + 12 - 3 = 20 - 3 = 17$

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