Topic: Solving Problems involving Permutations. Solve the problems completely. Show your solution In how many ways can 5 people sit at a round table if: a. they may sit anywhere? b. two insist on sitting beside each other? c. three refuse to sit beside each other?

You go to a local ice cream parlor and purchase a 2-scoop cone. If there are 10 flavors to choose from: Vanilla, chocolate, strawberry, orange sherbet, lime sherbet, chocolate-peanut butter, bubble gun, cotton candy, fudge swirl and butter pecan. How many different possible 2-scoop cones could you order? (Yes, you can have 2 scoops of the same flavor.) 20 C100 10