107_5.3_notes_quiz

A car is available in three colors: red, blue, or green, and comes with either a large or small engine. How many ways can a buyer choose a car?

• 3

• 6

• 9

• 12

License plates in a certain state contain three letters followed by three digits. How many different license plates can be made?

• 17,576,000

• 13,824,000

• 10,000,000

• 1,000,000

When ordering a certain type of computer, there are three choices of hard drive, four choices for the amount of memory, two choices of video card, and three choices of monitor. In how many ways can a computer be ordered?

• A) 72

• B) 144

• C) 36

• D) 108

A quiz consists of three true-false questions and two multiple-choice questions with five choices each. How many different sets of answers are there?

• 100

• 150

• 200

• 250

Fill in the blank: The Fundamental Principle of Counting states that if an operation can be performed in m ways and a second operation in n ways, then the total number of ways to perform the sequence is ____.

• A) m + n

• B) m - n

• C) m * n

• D) m / n

How many different groups of 5 people can be chosen from 30 people?

• 142,506

• 120,000

• 150,000

• 130,000

A committee of 8 people must choose a president, vice president, and secretary. What is the probability that either Ellen or Jose is elected president and the other is vice president?

• 1/56

• 1/30

• 1/25

• 1/20

8 college students have applied for internships at a local firm. Four of the applicants are from the same college. What is the probability that all three of the interviewed students are from Middle Georgia State University?

• 1/14

• 1/10

• 1/12

• 1/16

A box of lightbulbs contains 8 good lightbulbs and two burned-out bulbs. Four bulbs will be selected at random, how many ways can you choose 4 good bulbs from 8?

• 70

• 80

• 60

• 50

Which principle is essential for counting permutations and combinations?

• Fundamental Principle of Counting

• Principle of Addition

• Principle of Subtraction

• Principle of Multiplication