Respuesta :

Ok so there are 12 possible records to select from, so let's say we select 1, then there will be 11 possibilities left for the next record, then if we select another one, there will be 10 possibilities left, etc.; using this logic we can say that the total number of possible arrangements is equal to:
12*11*10*9*8*7*6*5*4 = 79 833 600

(This can also be written as a permutation in the form 12P9)
konrad509

[tex]k [/tex] objects can be chosen out of [tex] n [/tex] objects, when the order matters, in [tex] P(n,k)=\dfrac{n!}{(n-k)!} [/tex] ways.

So, there are [tex] P(12,9)=\dfrac{12!}{3!}=4\cdot5\cdot\ldots \cdot 11 \cdot12=79,833,600 [/tex] ways.

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