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Cambridge IGCSE Additional Mathematics

11.1-11.3Permutations and combinations

Permutations and combinations in Cambridge IGCSE Additional Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic42 practice questions2 lessons

Learning objectives

What the syllabus expects you to be able to do.

  1. 11.1Recognise the difference between permutations and combinations and know when to use each.
  2. 11.2Know and use n! and the expressions for permutations and combinations of n items taken r at a time.
  3. 11.3Solve arrangement and selection problems with permutations or combinations.

Lessons

  • Combinations: selections where order does not matter

    35 min

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  • Permutations: arranging objects in order

    35 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Permutations and combinations: sample question

1 mark

In how many ways can 3 learners be chosen from a class of 12 to represent the class at a meeting?

Only if the answer has a unit, e.g. cm or km/h.

Turn Permutations and combinations into a strength.

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