in a class of 25 students, 12 have taken mathematics, 8 have taken mathematics but not physics. Find the no. of students who Those have taken beth mathematics and physics and the nooit who have student has token physics but not mathematics each taken either mathematics of physics & both.
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class = 25
T=M+B+B
′
where M = students taken
maths only
B = students taken Biology only
B
′
= students taken both.
8 = maths only (M)
12=M+B
′
∴M+B
′
−M=B
′
=12−8=4
∴B
′
=4 students
and 25=7=M+B+B
′
=B+4+B
B=13
i) Biology but not maths ⇒13 (B)
ii)Both ⇒(B
′
)⇒4
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