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Combination is when the order of your set of elements DOES NOT matter.

An example would be Lotto 6/49. As long as you get all 6 numbers correctly, you will win no matter what the order of your number is arranged. Let's say the winning numbers are 1, 2, 3, 4, 5, 6. If you ticket says "2, 3, 1, 6, 4, 5" or "4, 3, 2, 1, 6, 5", you would still win, because you have all the correct numbers and the order does not matter.

Permutation is when the order of your set of elements DOES matter.

An example would be your arrangement of books. Pretend you have 3 different coloured books. How many permutations are there?

Red Black, Yellow

Red, Yellow, Black

Black, Yellow, Red

Black, Red Yellow

Yellow, Black, Red

Yellow, Red, Black

The order does matters when you arrange your set of books, and there are 6 permutations(ways you can arrange your books).

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Q: An example of permutation and combination?
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