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GCSE Product Rule Questions and Answers

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Product Rule - GCSE Mathematics - Revision and Examples

1. Product Rule

The product rule for counting in combinatorics is a technique for calculating the total number of possible selections from a set or sets of objects. 

1.1 How to apply Product Rule for Counting?

In order to use the product rule for counting, we use the following steps: 

  1. Observe and identify the number of sets to be selected. 
  2. Identify how many items to select from each set. 
  3. Multiply the number of items in each set. 

If selecting two items from a set,

  1. Calculate n x (n - 1)              …if order does not matter
  2. Calculate     GCSE Topicwise Product Rule Article Image 01      … if order matters

Example: A cafeteria menu has four different starters, three different mains, and five different dessert options. How many different ways are there to choose a starter, a main, and a dessert? 

Solution:

GCSE Topicwise Product Rule Article Image 02

Example: Tripti is trying to pick two fruits in a party. She must decide which fruit will she eat first and which one second. If there are 24 fruits to choose from, how many different options does she have?

Solution:

GCSE Topicwise Product Rule Article Image 03

Example: 12 teams must play cricket with each other once. How many matches in total will be played?

Solution:

GCSE Topicwise Product Rule Article Image 04

Quiz Questions
GCSE Topicwise Product Rule Article Quiz Image

GCSE Topics

  • Statistical Measures (5)
  • Numbers (1,084)
  • Data Visualisation (4)
  • Algebra (1,176)
  • Ratio, Proportion and Rates of Change (443)
  • Geometry and Measures (809)
  • Statistics (274)
  • Probability (258)
    • Frequently Asked Questions
    What are the main topics in GCSE Maths?

    The main topics in GCSE Maths are:

    • Numbers
    • Algebra 
    • Ratio, Proportion and Rates of Change 
    • Geometry and Measures
    • Statistics 
    • Probability 
    • Statistical Measures 
    • Data Visualisation 

    With regular practice of GCSE Maths topic-wise questions and GCSE Maths past pacers, you can easily score high marks.

    Is GCSE Maths hard?

    Although many people think of GCSE maths as a difficult subject, with the correct training and preparation,you can master it in time. You can practice GCSE Maths  topic-wise questions daily to improve speed, accuracy, and time and to score high marks in the GCSE Maths exam.

    What is a good grade on GCSE Maths Exam?

    A grade of 4 or 5 would be considered "good" because the government has established a 4 as the passing grade; a grade of 5 is seen as a strong pass. Therefore, anything that exceeds this level would be considered good. You can practice GCSE Maths topic-wise questions to score good grades in the GCSE Maths exam.

    How can I get full marks in GCSE Maths?

    You can get a high score in GCSE Maths through meticulous practice of GCSE Maths topic-wise questions and GCSE Maths past papers.

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