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A-LevelMathematicsProbability and statistics9709/52 · Oct/Nov 2024 · Q24 Marks

Find the number of different arrangements of the 9 letters in the word ALGEBRAIC.

  1. (a)Find the number of different arrangements of the 9 letters in the word ALGEBRAIC.[1]
  2. (b)Find the number of different arrangements of the 9 letters in the word ALGEBRAIC in which there are no more than two letters between the two As.[3]

Mark scheme

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

  1. [B1] Exact value must be seen. CAO.
  2. [B1] Correct outcome/value for 1 identified scenario, accept unsimplified.
  3. [M1] Add values of 3 correct scenarios, no incorrect/repeated scenarios.
  4. [A1] If M1 not awarded, SC B1 for 105840 WWW.
  5. [B1] Correct outcome/value for 1 identified scenario, accept unsimplified.
  6. [M1] Add values of 3 correct scenarios, no incorrect/repeated scenarios.
  7. [A1] If M1 not awarded, SC B1 for 105840 WWW.
  8. [B1] Correct outcome/value for 1 identified scenario, accept unsimplified.
  9. [M1] their 2(a), or correct, subtract values of 5 correct scenarios, no incorrect/repeated scenarios.
  10. [A1] If M1 not awarded, SC B1 for 105840 WWW.

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About this question

Topic
Probability and statistics, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source
A-Level Mathematics, Oct/Nov 2024 Paper 5 Variant 2, question 2.

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