Question

In a school, if 15 teachers teach maths and 25 teachers teach physics, and if total number of teachers is 30, then try to observe that minimum value of n(M ∩ P) is 10.

Answer 1

Answer:

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

Step-by-step explanation:

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