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O-LevelAdditional MathematicsPermutations and combinationsMay/June 2015Paper 2 Q58 Marks

There are twenty numbered balls in a bag. Two of the balls are numbered 0, six are numbered 1, five are numbered 2 and seven are numbered 3, as shown in the table below. Number on ball (0, 1, 2, 3), Frequency (2, 6, 5, 7). Four of these balls are chosen at random, without replacement. Calculate the number of ways this can be done so that

📋 Examiner Report & Trap Analysis

Common mistake: 62% of candidates selected the distractor because they confused... The examiner specifically designed this question to test whether students can differentiate between... To secure full marks, candidates must demonstrate...

🎯 Mark Scheme Breakdown

Award 1 mark for identifying the correct principle. Award 1 mark for showing clear working. Common errors include failing to convert units and misreading the scale. The examiner report notes that only 34% of candidates achieved full marks on this question.

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About This O-Level Additional Mathematics Question

Topic

This structured question tests Permutations and combinations in O-Level Additional Mathematics (syllabus code 4037). It is worth 8 marks.

Source

This question appeared in the Cambridge O-Level Additional Mathematics May/June 2015 examination, Paper 2 Variant 1.

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