Combinatorics Mixed Review Standards: I can use the counting principles, the sum rule, the product rule. I can identify and calculate combinations. I can identify and calculate permutations.
How many ways can a waiter, cashier, and chef be chosen from a class of 24 people?
A boat company offers four different models. Each boat comes in a choice of four colors, three types of motor, with or without a trailer, and with or without a sunshade. In how many different ways can a customer order a boat from this company?
How many ways can Ann, Beth, Chris, Dave, Ed, Flo, and Guy sit in a row if Ann, Beth, and Flo must sit next to each other?
Ten children are holding hands in a circle playing ring-around-the-rosy. How many arrangements are possible?