Amelia went into Cold Scoop to get an ice cream cone, but Amelia cannot make up her mind. Cold Scoop has $18$ flavors and Amelia wants three scoops.

1. Amelia wants a cone. How many different cones can Amelia get if all of her scoops are different and the order of the scoops matters?

   Hint (a):

   No repeats, but order DOES matter.

   Refer to the Math Notes box from lesson 10.1.1.

2. Amelia changes her mind. She wants a dish (in which the order does not matter), but she still wants three different flavors. How many ways can she order?

   Hint (b):

   No repeats, but order DOES NOT matter.