# Synonym For COMBINATION?

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Does anyone know a specialized term for COMBINATION?

1 How many different ___ can you come up with with the numbers 1,2,3,4,5?

Thanks
I don't know of a term other than combinations. Maybe a mathematician could help us out here.

[Edit - I just thought of another possible term: arrangements]
A specialised mathematical term is "permutation", but this would mean that all of the five numbers must be used. For instance, possible permutations of your set of numbers are (1, 2, 3, 4, 5) (2, 1, 3, 4, 5) (3, 2, 1, 4, 5) etc. -- The order is important here.

Is this what you where looking for, or did you have in mind also combinations like (1,2) (1,2,3) etc?

[Oops, Clive was faster! His reply, as well as that of Philip, was not here when I started typing!]
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Hi,

I'd say 'permutations'.

Clive
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alc24Does anyone know a specialized term for COMBINATION?
The mathematical term is combination. There is, however, another mathematical term, permutation, in which the order makes a difference.

To avoid an unnecessarily long post, let's use only the letters A, B, and C.

How many combinations are there of A, B, and C?

One-letter combinations: 3 A B C
Two-letter combinations: 3 AB AC BC
Three-letter combinations: 1 ABC

How many two-letter permutations are there of A, B, and C?

6 AB BA AC CA BC CB

How many three-letter permutations are there of A, B, and C?

6 ABC ACB BAC BCA CAB CBA

You haven't said how many digits are to be taken at once, and you seem to want all the digits from 1 through 5 to be presented in different orders, so I think the word you want in your sentence is permutations.

12345, 12354, 12435, 12453, etc.

The number of permutations of n things is n! = 1 x 2 x 3 x ... x n.
Hence the number of permutations of 1, 2, 3, 4, 5 is 120.