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O-LevelAdditional MathematicsPermutations and combinations4037/12 · May/June 2024 · Q46 Marks

A team of 8 people is to be formed from 6 teachers, 5 doctors and 4 police officers.

  1. (a)Find the number of teams that can be formed.[1]
  2. (b)Find the number of teams that can be formed without any teachers.[1]
  3. (c)Find the number of teams that can be formed with the same number of doctors as teachers.[4]

Mark scheme

Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.

  1. [B1] 6435
  2. [B1] 9
  3. [B1] 6C2 × 5C2 (150)
  4. [B1] 6C3 × 5C3 × 4C2 (1200)
  5. [B1] 6C4 × 5C4 (75)
  6. [B1] Total: 1425 Dep on all previous B marks

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About this question

Topic
Permutations and combinations, O-Level Additional Mathematics (syllabus 4037). Structured question, 6 marks.
Source
O-Level Additional Mathematics, May/June 2024 Paper 1 Variant 2, question 4.

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