Combinations vs. Permutations Explained

By watching this example, write in your own words what is meant when we say that "the order matters" for Permutations.

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In your own words, explain what is meant by "order doesn't matter" for Combinations

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Question: "How many teams of 4 can be produced from a pool of 12 engineers?"

Do you think this is a Permutation or a Combination?

• Permutation

• Combination

Question: "How many teams of 4 can be produced from a pool of 12 engineers?"

What is the correct notation for this problem?

• 4P12

• 12P4

• 12C4

• 4C12

Did you get the last 2 questions right?

*If yes: type "yes"

*If no: Explain how you can remember when to use Combinations

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Question: "In how many different ways can you arrange 3 books on a shelf from a group of 7?"

Is this a Permutation or Combination? Explain your reasoning

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Did you get the last question right?

*If yes: then type "yes"

+If no: Explain what can help you identify Permutations

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Question: "In how many different ways can you arrange 3 books on a shelf from a group of 7?"

Based on your previous answer, what is the notation for this problem?

• 3P7

• 3C7

• 7P3

• 7C3

Explain in your own words how you can identify when to use Combinations, and when to use Permutations in word problems?

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