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A-LevelMathematicsProbability and statistics9709/63 · May/June 2019 · Q35 Marks

Mr and Mrs Keene and their 5 children all go to watch a football match, together with their friends Mr and Mrs Uzuma and their 2 children. Find the number of ways in which all 11 people can line up at the entrance in each of the following cases.

  1. (i)Mr Keene stands at one end of the line and Mr Uzuma stands at the other end.[2]
  2. (ii)The 5 Keene children all stand together and the Uzuma children both stand together.[3]

Mark scheme

Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.

  1. [B1] 9! seen multiplied by k ≥ 1, no addition
  2. [B1] Exact value
  3. [B1] 2! or 5! seen mult by k > 1, no addition (arranging Us or Ks)
  4. [B1] 6! Seen mult by k > 1, no addition (arranging AAAAKU)
  5. [B1] Exact value

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About this question

Topic
Probability and statistics, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source
A-Level Mathematics, May/June 2019 Paper 6 Variant 3, question 3.

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