Question

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 both apple as well as orange juice. Find how many students were taking neither apple juice nor orange juice ​

Answer 1

AnSwEr -:



225 students were taking neither apple

juice nor orange juice.

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Explanation -:

Given,

There are 400 students In a school

So ,

n (s) = 400

100 students will take apple juice

So ,

n(A) = 100

150 students will take orange juice -:

So ,

n(o) = 150

75 students will take both apple and


orange juice

So ,

n(A∩o) = 75

So,

n(A∪o)=n(A)+n(o)−n(A∩o)

=100+150−75

=175

Number of students will take northern

apple nor orange juice .

Total number of students - no. of

students either like orange juice or

apple juice


=400−175

=225

Therefore,

225 students were taking neither apple

juice nor orange juice.


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