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comparing permutations to combinations for the same set of parameters you would have more combinations than permutations true or false

Respuesta :

Let a set of [tex]n[/tex] elements. 
We can find [tex]n![/tex] (factorial) of the [tex]n[/tex] element. 
However, combination of the element lead to less than [tex]n![/tex] possibilities. 
(combining like adding or multiplying)
So the proposition is false. 

Answer:

False; you would have more permutations than combinations.

Step-by-step explanation:

The formula for taking combinations of n objects taken r at a time is

[tex]\frac{n!}{r!(n-r)!}[/tex]

The formula for taking permutations of n objects taken r at a time is

[tex]\frac{n!}{(n-r)!}[/tex]

Comparing these two, we can see that the difference between the formulas is that the formula for combinations is divided by an extra r!.  Since it is divided by a larger number, it will result in a smaller answer; therefore permutations give more results than combinations.

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