01 Fundamental Counting Principle for Algebra

The Fundamental Counting Principle (FCP) states that if there are  $m$  ways for Event A to occur, and  $n$  ways for Event B to occur, the total number of ways these Events can occur in sequence is...

True or False: The Fundamental Counting Principle is extendable to any number of Events in sequence.

John has 10 shirts and 3 pairs of pants. How many outfits does he have to choose from, if each outfit consists of one shirt and one pair of pants?

A video store has 8 new releases this week. Each is available on both DVD and Blu-Ray. How many ways can a customer choose a new release to rent?

Carlos has homework to do in math, chemistry, and English. How many ways can he choose the order in which to do his homework?

The menu for a banquet has a choice of 2 types of salad, 5 main courses, and 3 desserts. How many ways can a salad, main course, and dessert be selected to form a meal?

A golf club company makes drivers with 4 different shaft lengths, 3 different lofts, 2 different grips, and 2 different club head materials. How many different types of driver are made by this company?

Each question on a six-question multiple-choice quiz has answer choices labeled A, B, C, and D. How many different ways can a student complete this quiz if every question must be answered?

Four family member line up in a row for a photo. In how many ways can they line up in this row?

A teacher gives a five-question true-and-false quiz. You haven't studied so you just randomly guess on each question.

To the nearest percent, what is the probability that you answer all of the questions correctly?