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Counting problems often happen in stages. In the tree diagram, choosing a wrap is one stage and choosing a drink is another.
An option is one possible choice at a single stage, and an outcome is one complete result after all stages are chosen. Each full path on the tree is one lunch outcome.
If every first-stage option can go with every second-stage option, use the product rule. For two stages with aaa options and bbb options, total outcomes are a×ba \times ba×b, so here 2×3=62 \times 3 = 62×3=6.
Question 1
2 marksThere are 12 boys and 15 girls in a class. One boy and one girl will be selected to represent the class on the student council. Work out the total number of ways of choosing a boy and a girl.
Revision notes for AQA GCSE Maths The Product Rule for Counting: explanations and worked examples.
1 of 5
A café offers 5 sandwiches and 4 drinks. You choose one sandwich and one drink. How many different meals are possible?