There are 70 patients admitted in a hospital in which 29 are diagnosed with typhoid, 32 with malaria, and 14 with both typhoid and malaria. Find the number of patients diagnosed with typhoid or malaria or both.

Correct Answer: 47
By using the inclusion-exclusion principle: |T ∪ M| = |T| + |M| – |T ∩ M| = (29 + 32) – (14) = 47. Thus 47 patients are diagnosed with either typhoid or malaria.