Question

MARCH:- 2019
5) In a school, survey among 400 students, 100 were listed as taking apple juice, 150 as
taking orange juice and 75 were listed as taking both apple juice as well as orange juice.
a)how many students take apple juice or orange juice
b)how many take apple juice alone but not orange juice.
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Answer 1

Answer:

Step-by-step explanation:

There are 400 students.So,n(s)=400.

100 students take apple juice,n(A)=100

150 take orange juice,n(o)=150

75 students take both apple and orange juice,n(A∩o)=75

So,n(A∪o)=n(A)+n(o)−n(A∩o)

=100+150−75

=175

a)Number of students taking neither apple or orange juice,n(  A∪o)=n(s  −n(A∪o)

=400−175

=225