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O-LevelAdditional MathematicsPermutations and combinations4037/12 · Oct/Nov 2022 · Q63 Marks

A group of 15 people includes 3 brothers. A team of 6 people is to be chosen from this group. The three brothers must not be separated. Find the number of possible teams that can be chosen.

  1. A group of 15 people includes 3 brothers. A team of 6 people is to be chosen from this group. The three brothers must not be separated. Find the number of possible teams that can be chosen.[3]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2022). The mark or mark type is shown in brackets.

  1. [1] Number of teams 'with the brothers': 220 or 12C3
  2. [1] Number of teams 'without the brothers': 924 or 12C6
  3. [1] 1144

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About this question

Topic
Permutations and combinations, O-Level Additional Mathematics (syllabus 4037). Structured question, 3 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2022 Paper 1 Variant 2, question 6.

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