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.
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.