Question

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

Answer 1

False; you would have more permutations than combinations.

Explanation:

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

`(n!)/(r!(n-r)!)`

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

`(n!)/((n-r)!)`

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.

Answer 2

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