GCSE Secondary Maths Age 13-17 - Probability & Statistics: Counting Outcomes - Explained

The video tutorial explains how to calculate the total number of matches played by 16 hockey teams, where each team plays two matches against every other team. The solution involves using combinations to determine the number of unique matches, then multiplying by two to account for the double matches. Examples with fewer teams are provided to illustrate the concept. The final calculation results in 240 matches, and the video also discusses the marks allocation for solving the problem.

How many unique matches are played among 16 teams if each team plays every other team once?

• 32

• 120

• 16

• 240

If there are 3 teams, how many matches are played if each team plays every other team once?

• 1

• 2

• 3

• 4

What is the formula used to calculate the number of matches for 4 teams?

• 4 * 3 / 2

• 4 * 2 / 2

• 4 * 1 / 2

• 4 * 4 / 2

Why is the final number of matches doubled in the calculation?

• Each team plays twice against every other team

• To correct an initial error

• To account for home and away games

• To include practice matches

How many marks are allocated for finding the process and the final answer?

• Two marks for the process

• No marks are allocated

• One mark for the process, one mark for the final answer

• One mark for the final answer only