Arrangement and selection problems

Sample Arrangement and selection problems questions

A few of the 7 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 12 marksGrade 7
   In how many different ways can the letters of the word $\text{Number}$ be arranged if all 6 letters are used? [2]
   Show the worked solution

   The word $\text{Number}$ has 6 different letters (no repeats), so the number of arrangements is $6! = 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 720$

What are the common mistakes in Arrangement and selection problems?

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.

• Adds the number of ways to make two independent selections instead of multiplying them, when both selections must be made together.

  Choosing 2 men AND 2 women are independent choices that both need to happen - the total number of ways is $\dbinom{6}{2} \times \dbinom{5}{2}$

Quick answers about Arrangement and selection problems

How many Arrangement and selection problems practice questions are there?

There are 7 self-marking Additional Maths Maths questions on Arrangement and selection problems, 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 Arrangement and selection problems?

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