Fundamental Counting Principle

Fundamental Counting Principle

Fundamental Counting Principle

​Fundamental Counting Principle

​Fundamental Counting Principle

Multiple Choice

Which method is best for counting the number of 5-digit numbers formed using digits 1 to 9?

• Fundamental Counting Principle

• Systematic Listing

• Table Form

• Tree Diagram

Multiple Choice

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

• 15

• 40

• 80

• 100

Multiple Choice

A store sells 4 types of snacks and 2 types of fruit juice. Jenny can choose one snack and one fruit juice. How many possible ways can Jenny choose a snack and a juice?

• 2

• 3

• 6

• 8

Multiple Choice

A restaurant offers four sizes of ice cream, two types of cones, and eight toppings. How many possible combinations of ice cream with one type of cone and one topping are there?

• 14

• 16

• 32

• 64

Multiple Choice

Ronnie has 4 shirts, 3 pairs of pants, and 2 pairs of shoes that all coordinate. How many outfits can you put together?

• 6

• 9

• 12

• 24

Multiple Choice

Gracie loves to eat vegetable salad. How many salad combinations can she put together if she can pick out one type of lettuce from 2 choices, one vegetable from 4 choices and one dressing from 7 choices?

• 13

• 27

• 56

• 64

Multiple Choice

Four students are to be chosen from a group of 9 to fill the positions of president, vice-president, treasurer and secretary. How many ways can this be accomplished?

• 2034

• 3024

• 5166

• 6561

Multiple Choice

How many 5-digit numbers can be formed using digits from 0 to 9?

• 4,900

• 15,000

• 90,000

• 100,000

Multiple Choice

How many 5-digit numbers can be formed if each one uses all the digits 0, 1, 2, 3, 4 without repetition?

• 96

• 120

• 3,125

• 1,024

Multiple Choice

A bag is locked with a 3-digit 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

• 380

Hierarchical Taxonomic System of Classification

Hierarchical Taxonomic System of Classification

Hierarchical Taxonomic System of Classification

Hierarchical Taxonomic System of Classification

Multiple Choice

In a zoo there are 10 animals belong to mammals, 7 animals belong to reptiles and 5 animals belong to amphibians. How many ways can student select three animals, each one coming from each class of vertebrates?

• 22

• 75

• 350

• 240

Multiple Choice

In a zoo there are 20 animals belong to birds, 14 animals belong to fishes and 12 animals belong to mammals. How many ways can student select three animals, each one coming from each class of vertebrates?

• 2920

• 3360

• 4690

• 5240

Multiple Choice

In a museum there are 4 animals belong to cnidarians, 15 animals belong to arthropods and 8 animals belong to mollusks. How many ways can student select three animals, each one coming from each class of invertebrates?

• 27

• 60

• 480

• 540

Multiple Choice

In a museum there are 10 animals belong to cnidarians, 12 animals belong to arthropods and 6 animals belong to mollusks. How many ways can student select three animals, each one coming from each class of invertebrates?

• 570

• 610

• 720

• 840

Multiple Choice

In a forest there are 4 plant-like belong protists, 3 animal-like belong to protists and 3 fungi-like belong to protists. How many ways can student select three species, each one coming from each group of kingdom protista?

• 10

• 15

• 36

• 48