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91Ó°ÊÓ

If nA=30,nB=40,nA∪B=45, find nA∩B.

Short Answer

Expert verified

nA∩B=25.

Step by step solution

01

Step 1. Given Information.

The given values are

nA=30,nB=40,nA∪B=45.

02

Step 2. Value of nA∩B.

Using the Counting principle, we get

nA∪B=nA+nB-nA∩B45=30+40-nA∩B45=70-nA∩B-25=-nA∩BnA∩B=25.

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