Question

Out of the 60 students ,29 took mathematics ,32 took the biology and 8 took the none of the two.How many sudents both maths and biology

Answer 1

Answer:

9 students took both Mathematics and Biology.

Answer 2

There are 9 students who took both maths and biology.

Step-by-step explanation:

Since we have given that

Number of students = 60

Number of students who took mathematics = 29

Number of students who took biology = 32

Number of students who took none = 8

So, it becomes,

$n(A'\cup B')=n(A\cap B)'=8\\\\n(U)-n(A\cap B)'=n(A\cup B)\\\\60-8=n(A\cup B)\\\\52=n(A\cup B)$

So, it becomes,

$n(A\cup B)=n(A)+n(B)-n(A\cap B)\\\\52=29+32-x\\\\52=61-x\\\\52-61=-x\\\\-9=-x\\\\x=9$

Hence, there are 9 students who took both maths and biology.

# learn more:

In a group of 15 people, 7 read french ,8 read english while 3 of them read none of these two.How many of them read french and english both?

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