in a school a survey of 400 students 100 were listed as taking apple juice 150 taking orange juice and 75 were listed as taking both apple and orange juice
a) how many students take apple juice or orange juice
b) how many take apple juice alone but not orange juice
c) how many students take neither apple juice nor orange juice
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3
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Answered by
8
Answer:
Thereare400students.So,n(s)=400.
100studentstakeapplejuice,n(A)=100
150takeorangejuice,n(o)=150
75studentstakebothappleabdorangejuice,n(A∩o)=75
So,n(A∪o)=n(A)+n(o)−n(A∩o)
=100+150−75
=175
Numberofstudentstakingneitherapplenororange
juice,n(
A∪o )=n(s)−n(A∪o)
=400−175
=225
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