Factorial, nPr, and nCr notation

Sample Factorial, nPr, and nCr notation questions

A few of the 4 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 12 marksGrade 6
   Evaluate $\dfrac{6!}{3!}$. [2]
   Show the worked solution

   $\dfrac{6!}{3!} = \dfrac{6\times5\times4\times3!}{3!} = 6\times5\times4 = 120$

What are the common mistakes in Factorial, nPr, and nCr notation?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

• Treats a ratio of factorial expressions as if it simplifies by subtracting the arguments, instead of expanding and cancelling the shared factorial term.

  $\dfrac{n!}{(n-2)!}$ doesn't simplify by subtracting the factorial expressions - expand $n!=n(n-1)(n-2)!$

Quick answers about Factorial, nPr, and nCr notation

How many Factorial, nPr, and nCr notation practice questions are there?

There are 4 self-marking Additional Maths Maths questions on Factorial, nPr, and nCr notation, written for Cambridge IGCSE Additional Maths (0606) across Single tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Factorial, nPr, and nCr notation?

No. You can start practising Factorial, nPr, and nCr notation straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.