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O-LevelAdditional MathematicsPermutations and combinations4037/11 · May/June 2012 · Q47 Marks

the number of 5-letter arrangements if there are no restrictions,

  1. (a)(i)the number of 5-letter arrangements if there are no restrictions,[1]
  2. (a)(ii)the number of 5-letter arrangements which start with the letter A and end with the letter E.[1]
  3. (b)(i)Find the number of ways in which this can be done.[1]
  4. (b)(ii)10 boys and 5 girls get tickets,[3]
  5. (b)(iii)all the boys get tickets.[1]

Mark scheme

Marking points from the official mark scheme (May/June 2012). The mark or mark type is shown in brackets.

  1. [B1] (a)(i) 15120
  2. [B1] (a)(ii) 210
  3. [B1] (b)(i) 15504
  4. [B1] (b)(ii) 12C10
  5. [B1] (b)(ii) 8C5
  6. [B1] (b)(ii) = 3696
  7. [B1] (b)(iii) 56

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About this question

Topic
Permutations and combinations, O-Level Additional Mathematics (syllabus 4037). Structured question, 7 marks.
Source
O-Level Additional Mathematics, May/June 2012 Paper 1 Variant 1, question 4.

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