240 students in a school were interviewed and their hobbies your noted 150 students were interested in stamp collection 82 delight in reading books 40 of them do not like either what is the number of students who like both stamp collection and reading books
Answers
The answer is 32
Given
Total students = 240
Students who don’t like any hobby = 40
Students who like stamp collection = 150
Students who like books = 82
To Find
Students who like both
Solution
Total students = 240
Students who don’t like either = 40
Students who like any of the two + both = Total students - Students who don’t like either
=240 – 40
= 200
Students who only reading books = 200 – 150
= 50
Students who like only stamp collection = 200 – 82
= 118
Students who like both = 200 - (118+50)
= 200 – 168
=32
Hence the answer is 32
Venn diagram
The number of students who like both stamp collection and reading books is 32.
Given: total number of students = 240,
number of a student interested in stamp collection = 150
number of a student interested in reading books = 82
number of students who do not like either = 40
To Find: number of students who like both.
Solution:
We can say that,
The number of students who like either of two hobbies = Total number of students - the number of students who do not like either
∴ The number of students who like either of two hobbies = 240 - 40
= 200
Now,
The number of students who like only stamp collection = 200 - 150
= 50
The number of students who like only reading books = 200 - 82
= 118
Now, the number of students who like both hobbies =200 - (118+50)
= 32
Hence, the number of students who like both stamp collection and reading books are 32.
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