In a survey of 400 students in a school, 100 were listed as taking apple juice, 150 as taking orange juice and 75 were listed as taking both apple as well as orange juice. How many students were taking neither apple juice nor orange juice?
Text Solution
Verified by ExpertsA
Let 
denotes the set of surveyed students and 
denotes the set of students taking apple juice and 
denotes the set of students taking orange juice.
Then 
and 
.
Now, 
Hence, 225 students were taking neither apple juice nor orange juice.
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