Analysis & Approaches HL · Topic 1 · Number & Algebra

IB Math AA HL Permutations and Combinations Worksheet (with full solutions)

Counting principles, factorials, arrangements with restrictions and selections with nCr.

22 pages · 120 marks · with full solutions · free PDF for IB Mathematics: Analysis and Approaches HL students.

22pages
120marks
3difficulty levels
Yessolutions included
T1Number & Algebra

Download the AA HL Permutations and Combinations worksheet (PDF) ↓   All AA HL worksheets →

What this AA HL permutations and combinations worksheet covers

Counting principles, factorials, arrangements with restrictions and selections with nCr. The questions follow the order of the AA HL syllabus for Topic 1 (Number & Algebra) and are graded in three bands — routine practice, exam-standard, and the harder multi-step questions that separate a 6 from a 7.

Product rule for counting
Permutations with and without repetition
Combinations and when order does not matter
Arrangements with restrictions (together, apart, at ends)
Exam tip for this topic. Ask "does order matter?" out loud for every question — it decides nPr vs nCr.

Preview

How to use it

  1. Do the first band without the AA HL formula booklet, then check which formulas you had to look up — those are the ones to memorise.
  2. Time the second band at roughly 1.2 minutes per mark, the pace of Paper 1 and Paper 2.
  3. Mark the third band against the solutions and rewrite every question you lost marks on from a blank page.

More AA HL worksheets on Number & Algebra

✓ = solutions included

Questions

Is this AA HL permutations and combinations worksheet free?

Yes — download the PDF with no sign-up. It is one of over 130 free IB Math worksheets on this site, written to match the current syllabus.

Does it come with answers?

Yes, full worked solutions are included at the end of the PDF.

Which IB course is it for?

IB Mathematics: Analysis and Approaches HL. The same topic is also available for the other courses where it is on the syllabus — see the links above.

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