What this quiz covers

Grade 12 Counting & Probability Quiz 2 draws its questions at random from 30 questions across these topics:

• Counting principle
• Venn, tables & trees
• The rules
• Counting & probability

Example questions

A sample of the questions you will practise in this quiz. Work them out yourself - the full solution appears after you answer each one.

1. The ten different letters A, B, C, D, E, F, G, H, I and J are arranged to form a code using ALL ten letters. How many different arrangements are possible?
2. The ten different letters A to J are arranged using all ten letters. In how many of these arrangements are the letters A, B, C and D all next to one another?
3. The ten different letters A to J are arranged at random using all ten letters. What is the probability that an arrangement starts with A, B, C, D in that exact order?
4. Six passengers sit in a row of six seats. In how many different ways can they be seated if two particular passengers must sit next to each other?
5. Six passengers, including Mary, take the six seats in a row at random. What is the probability that Mary sits in one of the two end seats?