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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If there is a group of 3 coloured balls, then any groups of 2 balls selected from it will be considered as a combination, whereas the different arrangements of every combination will be considered as a permutation
The Maths terms combination and permutation apply in chemistry when making the expected industrial calculation.
They are called combination locks because that is the general, conventional term used. Trying to call them permutation locks is mixing different areas of usage together and that is not valid.
yes math is debatable.... ex. combination and permutation are very arguable
In permutations the order of the elements does matter. In combinations it does not.So, the permutations 1,2,3 and 3,1,2 are not the same. But they are the same combination.