### Home > A2C > Chapter 10 > Lesson 10.2.4 > Problem 10-108

Connie and Nora went into Ready Scoop to get ice cream cones, but Nora can't make up her mind. The have 23 flavors and she wants 3 scoops. Homework Help ✎

If Nora is very particular about the order of the scoops, how many choices does she have if all of the scoops are different?

Nora changes her mind. She wants a dish, not a cone, but she still wants three different flavors, how many ways can she order?

Connie says, “

*I still want a cone with dark chocolate on the bottom and then any other two scoops*.” How many cones are possible with dark chocolate on the bottom?Vlad came in as they were leaving and saw Connie's cone. He said, “

*Oh, that's what I want, a cone with chocolate on the bottom and then two other flavors*.” The clerk, said, “*Okay, but we have four kinds of chocolate*.” Vlad replied, “*Any kind of chocolate will do*.” How many different cones could fill Vlad's order?

No repeats, but order DOES matter.

No repeats, but order DOES NOT matter.

See (c). Remember that Vlad has 4 choices of chocolate for the bottom and not just one.