Combinations

Tutorial Videos

Product Rule for Counting – Corbettmaths

Corbett Maths Product Rule for Counting

Online Platforms (with Videos & Exercises)

Activities & Resources

• Pixi Maths
  • Frequency Trees and Systematic Listing ppt (Slides 9 Onwards)
• Andy Lutwyche
  • Product Rule For Counting Codebreaker
  • Listing Outcomes Codebreaker
  • Defuse The Bomb – Product Rule For Counting
  • Product Rule For Counting Codebreaker (2)
• The Chalkface
  • Braille: PDF
• Transum
  • Systematic Listing
  • Misfits
• Go Teach Maths
  • Systematic Listing
  • Product Rule for Counting
• BossMaths
  • N5a Systematic Listing Strategies & the Product Rule for Counting✦ (Interactive routes applet)
• Colleen Young
  • Systematic Listing Strategies✦

Worksheets

• Dr Austin Maths
  • Product Rule for Counting Practice Strips (Word | PDF | Answers)
  • Product Rule for Counting Match-Up (Word | PDF | Answers)
• Pixi Maths
  • Systematic Listing Exam Questions
• CIMT MEP (online self-checking)
  • Estimating Number of Outcomes
  • Finding Outcomes With Two Experiments
• Maths Genie
  • Systematic Listing: Booklet · Worksheet · Solutions · Lesson · Topic page
  • The Product Rule for Counting: Booklet · Worksheet · Solutions · Lesson · Topic page
• Corbettmaths
  • Product rule for counting exercise✦
  • Listing and Counting: Product Rule for Counting✦
• 1st Class Maths
  • Listing and Counting: Product Rule for Counting✦
• Mr Morley Maths
  • Systematic Listing: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme

Dr Frost Video

Key Skill – Use the product rule for counting.

K476: Use the Product Rule for Counting.

Dr Frost Slides & Activities

Dr Frost Slides (1-4 & 10)

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 380a: List combinations of items from two or more groups. (not yet active)
• 380b: List all possible orderings of items. (not yet active)
• 380c: List all possible routes between two points in a graph. (not yet active)
• 381a: Determine the number of combinations when an item is taken from each group.
• 381b: Determine the number of combinations when an item is repeatedly taken from the same group, but with replacement.
• 381c: Use the number of combinations to determine the number of items in a group.
• 380: Exam Practice: Listing all combinations
• 381: Exam Practice: Product rule for counting (Fundamental Counting Principle)

Tutorial Videos

Product Rule for Counting

Product Rule for Counting by 1st Class Maths

The Product Rule for Counting

The Product Rule for Counting by Maths Genie

The Product Rule for Counting | Grade 6+ Maths Series | GCSE Maths Tutor

The Product Rule for Counting by The GCSE Maths Tutor

Product Rule for Counting – Corbettmaths

Corbett Maths Product Rule for Counting

Online Platforms (with Videos & Exercises)

Activities

• Acute Learning Problem Pairs
  • Level 2 FM: Product Rule for Counting as PowerPoint or PDF
• Transum
  • PIN Possibilities

Worksheets

• Corbettmaths
  • Product Rule for Counting Practice Questions & Solutions
  • Product Rule for Counting Worksheet & Solutions
• Mr Morley Maths
  • Product Rule for Counting: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme

Dr Frost Slides & Activities

Dr Frost Slides (5)

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 381d: Determine the number of combinations when multiple items are taken from the same group, where order matters.
• 381e: Determine the number of combinations when an item is taken from only some of the groups.
• 381f: Determine the number of combinations when the selection from one or more groups must be a given type. (not yet active)
• 381g: Use the number of combinations to determine a probability or fraction.
• 381h: Determine the number of combinations when two items are taken from the same group, where order does not matter.
• 381i: Determine the number of combinations when multiple forms of a list are produced, with some items taken from the same group.
• 381j: Use the number of combinations from multiple forms of a list to determine a probability or fraction.
• 382a: Use listing strategies to find the number of combinations that result in a given property. (not yet active)
• 382b: Solve problems by use of case analysis. (not yet active)
• 381: Exam Practice: Product rule for counting (Fundamental Counting Principle)
• 382: Exam Practice: Non-multiplicative approaches to counting, including case analysis

Enrichment Video

13,983,816 and the Lottery – Numberphile

Numberphile: 13,983,816 and the Lottery