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In a class of 40 students 32 offer mathematics ... - JAMB Mathematics 2003 Question

In a class of 40 students, 32 offer mathematics, 24 offer Physics, and 4 offer neither Mathematics nor Physics. How many offer both Mat

ematics and Physics?

A
20
B
16
C
8
D
4
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Correct Option: A

Using a venn diagram, let x = number who offer both Maths and Physics. So that (32-x) offer Maths and another (24-x) offer Physics.

(32-x) + (24-x) + (x) + (4 who offer neither) = 40

=> 60 - x = 40

=> -x = -20

Therefore x = 20.

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