Jambmaths question:
In a class of 50 students, every students must offer at least one subject. 40 students offered Physics and 30 offered Biology. How many offered both Physics and Biology?
Option A:
42
Option B:
20
Option C:
70
Option D:
54
Jamb Maths Solution:
$\begin{align} & P=\text{number of those offering physics} \\ & B=\text{ number of those offering Biology} \\ & n(P)=40,\text{ }n(B)=30,n(\mu )=50 \\ & 50=40-x+x+30-x \\ & 50=70-x \\ & x=20 \\ & \text{Those offerring both subjects, i}\text{.e}\text{. }n(P\cap B)=20 \\\end{align}$
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