Basic Counting Techniques in Probability

How many ways can five different books be arranged on a bookshelf?

• 120

• 3125

• 60

• 25

From among 12 projects under consideration, the mayor must put together a prioritized list of 6 projects to submit to the city council for consideration. How many lists can be formed?

• 924

• 665,280

• 479001600

• 72

How many ways can you answer a 10 question multiple choice quiz if each question has four options?

• 1,048,576

• 5040

• 10,000

• 210

How many license plates are possible if each contains 3 letters followed by 3 digits if letters and digits can be repeated?

• 17,576,000

• 11,232,000

• 312,000

• 2,176,782,336

How many license plates are possible if each contains 3 letters followed by 3 digits if no letters nor digits can be repeated?

• 17,576,000

• 11,232,000

• 312,000

• 2,176,782,336

How many different five-card hands can be dealt from a standard deck of 52 cards?

• 2,598,960

• 311,875,200

• 260

• 380,204,032

When buying a new car, the customer can choose from 7 different exterior colors, 4 interior colors, and 3 different accessory packages? How many different cars can the customer order?

• 84

• 2184

• 364

• 924

How many five-card hands are possible if the hand contains the Ace of hearts and King of spades?

• 19,600

• 22,100

• 370,832

• 1680

Five different colored dice are tossed. How many different outcomes are possible?

• 7776

• 15,625

• 720

• 30

A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?

• 5/11

• 5/6

• 1/3

• 5