Question

in a college there are 27 teachers who teach physics or chemistry of these 13 teach physics and 3 teach physics and chemistry how many teach chemistry?​

Answer 1

Total teachers = 27

Physics only = 13

Both = 3

Remaining = 27-16

= 11

Chem only = 11

Both = 3

Total chem teachers = 11+3

= 14 teachers

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Answer 2

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In a school, there are 20 teachers who teach mathematics or physics. Of these, 12 teach mathematics and 4 teach both physics and Mathematics. How many teach physics?

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Solution

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Number of teachers who teach math or physics =n(M∪P)=20

Number of teachers who teach math = n(M)=12

Number of teachers who teach math and physics =n(M∩P)=4

Find : Number of teachers who teach physics =n(P)=?

Solution :

n(M∪P)=n(m)+n(P)−n(M∩P)

20=12+n(P)−4

20−12+4=n(P)

n(P)=12

hence 12 teacher teach the physics

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