Permutations and Combinations in H2 Mathematics is usually met around JC2 H2 Mathematics — though schools sequence topics differently — and is covered in Odyssey Math Tuition’s online math course for that level, with recorded video lessons, a question bank, topical practice and a topical test. Most marks lost here come from execution errors rather than misunderstanding, which is why targeted practice works.
What permutations and combinations in h2 mathematics actually asks of a student
Permutations and combinations is a counting topic: how many ways can a selection or an arrangement be made. The single question that governs everything is whether order matters.
It is unusual in the syllabus because there is almost no algebra to hide behind. A student either models the situation correctly or does not, and a wrong model produces a confidently wrong number with no partial credit to recover.
What the topic assumes you already have
Most difficulty in this topic is not caused by the topic itself. It is caused by something earlier that never became fluent. Check these first:
- Factorial notation and its arithmetic
- Careful reading — restrictions are usually stated in one clause
- Comfort breaking a problem into disjoint cases
- Basic probability, since these questions often feed into it
If any of these is shaky, repair it before going further. Working on new material while a prerequisite is unstable is how students spend hours and move nothing.
Where marks are actually lost
- Using a permutation where order does not matter, or the reverse
- Double-counting arrangements that are actually identical
- Handling repeated objects without dividing by the repeats
- Missing a case when a restriction requires splitting the problem
- Adding cases that overlap instead of disjoint ones
Most of these are execution errors rather than gaps in understanding, which is encouraging: they respond to practice and to keeping a written record of the mistakes you personally repeat.
A revision approach that works
- Ask “does order matter?” in writing, before any calculation.
- For restriction questions, handle the restricted positions first.
- Count a small version of the problem by hand to check the method.
- Practise identifying when cases overlap; that is where most marks go.
How the JC2 H2 Mathematics course covers it
In the JC2 H2 Mathematics online course this topic follows the same shape as every other: a recorded explanation, a question bank with answers worked through rather than printed, topical practice, and a topical test. Lessons are recorded personally by our founder, Mr. Justin Tan, and the course follows our own curriculum, aligned to the MOE syllabus.
The courses also include past-year school examination papers with worked answers, which shows how a topic is actually examined rather than how it is taught. Access is 24 hours a day with unlimited replays, and every online course carries a 7-day money-back guarantee.
Where this sits in the wider syllabus
For the year as a whole, see our guide to this stage. For the subject in context, this guide and this one cover what comes before and after.
Syllabus details follow Ministry of Education and SEAB published documents. Course details and prices are as published at the time of writing — check the course pages for current information. We do not promise grades.
Read next
Related reading on studying maths online: Inside the Junior College 1 H2 Mathematics Online Math Course, Inside the Junior College 2 H2 Mathematics Online Math Course, Functions in H2 Mathematics: A JC1 Revision Guide, Number Patterns: A Secondary 1 Revision Guide, The R-Formula and Further Trigonometry: A Sec 4 A-Math Guide. On choosing a college, see our list of junior colleges in Singapore.
More on getting the most from your maths
Frequently asked questions
What does permutations and combinations in h2 mathematics cover at JC2 H2 Mathematics?
Permutations and combinations is a counting topic: how many ways can a selection or an arrangement be made. The single question that governs everything is whether order matters.…
What should my child revise before this topic?
The prerequisites listed above. Most difficulty traces back to an earlier skill that never became fluent rather than to the topic itself.
Where do students lose the most marks?
Almost always in execution rather than understanding — sign errors, answering a different question from the one asked, or skipping the sketch.
Is this topic in the online course?
Yes. It is covered in the JC2 H2 Mathematics online math course with video lessons, a question bank, topical practice and a topical test.
Can we access just this topic?
Yes. The courses are self-paced and non-linear, so a student can go straight to one topic without working through the rest.
Is there a trial period?
All online courses carry a 7-day money-back guarantee. The terms and conditions set out how it works.
Last reviewed July 2026. Syllabus details follow the Ministry of Education and SEAB published documents.
