GCSE Maths | Product Rule for Counting

Question 1

There 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.

Question 2

There are 17 boys and 14 girls in a choir. One boy and one girl will be selected to sing a duet. Work out the total number of ways of choosing a boy and a girl.

Question 3

There are 14 boys and x girls in a choir. One boy and one girl will be selected to sing a duet. Taylor says there are 152 different ways of choosing a boy and a girl. Could Taylor be correct? You must show your working.

Question 4

There are 5 starters and 6 main courses in a restaurant. Work out the total number of ways of choosing a starter and a main course.

Question 5

There are 4 starters, 7 main courses and 4 desserts in a restaurant. Work out the total number of ways of choosing a starter, a main course and a dessert.

Question 6

There are 5 starters, 6 main courses and x desserts in a restaurant. Riley says there are 130 different ways of choosing a starter, a main course and a dessert. Could Riley be correct? You must show your working.