### Home > CCA2 > Chapter Ch10 > Lesson 10.2.1 > Problem 10-91

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

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 (in which the order does not matter), not a cone, but she still wants three different flavors. How many ways can she order?

Connie says, “

*I want a cone with dark chocolate on the bottom and then any other flavor(s) for the two scoops on top.*” 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 different 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.

Remember that Vlad has four choices of chocolate for the bottom and not just one.

His next two choices will be different from the bottom and from each other.