Counting Methods and Techniques

• Fundamental Counting Principle

• Systematic Listing

• Tabular

• Tree Diagram

What is the technique of counting possible outcomes is illustrated below?

• Fundamental Counting Principle     

• Systematic Listing

• Tabular

• Tree Diagram

Carmina has 4 different blouses and 3 different skirts to be worn by a mannequin. In how many ways can she dress the mannequin?

• 3

• 6

• 9

• 12

Which method is best use in counting the number of 5-digit numbers that can be formed using the digits 1, 2, 3, 4, 5, 6, 7, 8. And 9?

• Fundamental Counting Principle

• Systematic Listing

• Tabular

• Tree Diagram

How many outfits are possible with 5 pairs of jeans, 8 t-shirts and 2 pairs of shoes?

• 15

• 40

• 80

• 100

A coin is tossed once, and a die is rolled once. Which of the following could not be an outcome?

If a coin is tossed thrice, there are 8 possible outcomes. How many possible outcomes are there if a coin is tossed four times?

• 8

• 12

• 16

• 20

A canteen sells out four different snack foods and two types of fruit juices. Grace can choose one snack food and one fruit juice.  How many possible ways can she choose her snacks?

• 2

• 3

• 6

• 8

A luggage is locked with a 3-digitt even number selected from 1 – 9 digits and repetition of digits is not allowed. how many possible ways the luggage can be locked?

• 150

• 224

• 260

• 504

Six different books are to be arranged on a shelf. Unfortunately, the space available is only good for three books. Applying the product rule, which one gives the number of ways off arranging the books on the shelf?