WAEC Further Mathematics 2025 Objective — Question 40
Question 40 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2025 Objective paper, with the correct answer and a full explanation.
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A medical group consists of 7 general practitioners and 5 surgeons. In how many ways can an outreach team of 5 medical personnel be selected if the team must have at least three general practitioners?
- A. 175
- B. 350
- C. 525
- D. 546Correct
Explanation
At least 3 GPs means 3, 4, or 5 GPs in the team of 5: C(7,3)C(5,2)+C(7,4)C(5,1)+C(7,5)C(5,0) = 350+175+21 = 546 ways.
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