Question

How many different orders of top-three finishers are possible? drag the tiles to the correct locations on the equation. not all tiles will be used.

Answer 1

Orders of top-three finishers that are possible is given as follows:

$n P_{r}=\frac{14 !}{11 !}=2184$

What is the permutation?

In a broad sense, a permutation of a set is the rearrangement of its elements inside an already ordered set, or the arrangement of its members into a sequence or linear order. The act or process of altering an ordered set's linear order is referred to as "permutation."

What is the permutation formula?

The number of possible permutations of x elements from a set of n elements is given by:

$n P_{r}=\frac{n !}{(n-r) !}$

The order in which the cars finish is important, hence the permutation formula is used instead of the combination formula.

In this problem, 3 cars are taken from a set of 14, hence the number of different orders is given as follows:

Using the permutation formula, it is found that the number of different orders of top-three finishers that are possible is given as follows:

$n P_{r}=\frac{14 !}{11 !}=2184$

To know more  about the permutation visit:

brainly.com/question/25925367

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How many different orders of top-three finishers are possible? drag the tiles to the correct locations on the equation. not all tiles will be used.