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O-LevelAdditional MathematicsPermutations and combinations4037/22 · May/June 2024 · Q74 Marks

Find the number of different ways the 9 letters of the word POLYMATHS can be arranged when

  1. (a)the O and A are not next to each other[2]
  2. (b)the letters MATHS are together in this order.[2]

Mark scheme

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

  1. [M1] for 9! - 2! × 8! oe
  2. [A1] 282240
  3. [M1] for 5! or 'P5 oe
  4. [A1] 120

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About this question

Topic
Permutations and combinations, O-Level Additional Mathematics (syllabus 4037). Structured question, 4 marks.
Source
O-Level Additional Mathematics, May/June 2024 Paper 2 Variant 2, question 7.

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