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.

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

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

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

Did you get the last question right?

*If yes: then type "yes"

+If no: Explain what can help you identify Permutations

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?