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A-LevelMathematicsProbability and statistics9709/61 · Oct/Nov 2018 · Q13 Marks

9 people are to be divided into a group of 4, a group of 3 and a group of 2. In how many different ways can this be done?

9 people are to be divided into a group of 4, a group of 3 and a group of 2. In how many different ways can this be done?[3]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.

[B1] 9C4 or 9C3 or 9C2 seen (1st group)
[B1] 5 or 7C3 or 6 or 7C4 or 6 or 5C2 times an integer (2nd group)
[B1] Correct answer

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About this question

Topic: Probability and statistics, A-Level Mathematics (syllabus 9709). Structured question, 3 marks.
Source: A-Level Mathematics, Oct/Nov 2018 Paper 6 Variant 1, question 1.

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