In A Survey Of 825 peoples,400 liked Apple,450 liked Banana ,150 liked both & 125 peoples didn't liked any of the fruits.Find How Many Peoples didn't like Banana.
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Let Apple eaters may be denoted as A
Banana eaters may be denoted as B
and total sample may be denoted as E
So, |A|=400
|B| =450
|A intersection B|=150
To find non banana eaters = total sample - banana eaters
= 825-450=375
OR
Only banana eaters = 450-150=300
only Apple eaters = 400-150=250(these people don't like banana)
so 250+ non fruit lover = 250+125=375
Thus we can resolve in 2 ways.
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