Analyzing Numerical Data Counting Principles

Ten digit telephone number has a form (XYZ) - ABC-DEFG. In the particular state there are 4 possible area codes (404, 470, 678, and 607). The digit A is restricted to a number 2 through 8. The digits B and C can be any number but they cannot repeat. D,E,F, G have no restrictions. How many phone numbers are possible with these restrictions?  

• 28,800,000

• 25,200,000

• 16,533,720

• 28,000,000

Student ID number consists of 6 characters. The first four characters can be any number without restrictions. The last two characters are letters and cannot repeat. How many student IDs are possible?

• 6,760,000

• 4,738,500

• 6,500,000

There are eight horses in the race. How many ways can they finish First, Second and Third?

• 512

• 448

• 336

• 24

At  a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

• 180

• 23

• 12

• 60

Which Class has the highest frequency?

• 2.5-3.0

• 0.5-4.0

• 2.5-3.5

• 3.0-3.5

Why is this frequency distribution incorrect?

• The fourth class width is different from the others

• There is a zero.

• Classes should overlapped.

You are about to take 6 question test. Each question has 4 possible answer choices. How many ways can you answer the test if you answer each question?

• 4096

• 24

• 1296

• 10

How many different three digit alarm codes can be formed for the house alarm if the first digit must be 3, 5 or 7, and all other digits can be any number but numbers cannot repeat.

• 300

• 3000

• 270

• 22

A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips and beverage can be ordered?

• 30

• 17

• 90

• 270

Shoppers in a large shopping mall are categorizes as male or female, over 40 or under 40, and cash or credit card shoppers. In how many ways can shoppers be categorized?

• 160

• 6

• 8

• 16