Question

José is on a gameshow that involves a taste test. He gets to see a list of 15 different secret ingredients before

Answer 1

Using the permutation formula, it is found that:

• The appropriate value of r is 3.
• The appropriate value of n is 15.
• There are 2730 ways to arrange the dishes.

Permutation formula:

The number of possible arrangements of r elements from a set of n elements is given by:

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

In this problem:

• 3 elements from a set of 15, thus the appropriate values are $n = 15, r = 3$.

The number of ways is:

$P_{15,3} = \frac{15!}{12!} = 2730$

A similar problem is given at brainly.com/question/24245547