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Discussion

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?

  • A.8
  • B.12
  • C.16
  • D.20

Answer: B

Let M be the set for Math teachers and P for Physics teachers.

n(M ∪ P) = 20, n(M) = 12, n(M ∩ P) = 4.

We use the formula n(M ∪ P) = n(M) + n(P) - n(M ∩ P).

20 = 12 + n(P) - 4

20 = 8 + n(P)

n(P) = 12.

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