Fundamental Counting Principle and Tree Diagrams

Counting Techniques

Multiple Choice

It is a graphic organizer that makes use of branching connecting lines to determine the number of outcomes of an experiment.

• Systematic Listing

• Tree Diagram

• Fundamental Counting Principle

Tree Diagram

tossing a coin thrice

Multiple Choice

How many outcomes are possible in rolling two dice?

• 12 outcomes

• 18 outcomes

• 24 outcomes

• 36 outcomes

Multiple Choice

This counting technique states that if there are ‘m’ outcomes in event A, and ‘n’ outcomes in event B, then there are m×n outcomes in event A and event B combined.

• Systematic Listing

• Tree Diagram

• Fundamental Counting Principe: Multiplication Rule

• Fundamental Counting Principe: Addition Rule

Multiple Choice

How many outcomes are possible in tossing a coin and rolling a die simultaneously?

• 2 outcomes

• 6 outcomes

• 8 outcomes

• 12 outcomes

Multiple Choice

This counting technique states that if a choice can be done in m ways and another in n ways such that the two choices cannot be made at the same time, then the total number of possible outcomes is m+n

• Systematic Listing

• Tree Diagram

• Fundamental Counting Principe: Multiplication Rule

• Fundamental Counting Principe: Addition Rule

Multiple Choice

A student, who is either a junior or a senior, is to be chosen as the school's representative for an extemporaneous speech contest. if there are 50 juniors and 70 seniors, in how many ways can the selection be done?

• 50 ways

• 70 ways

• 120 ways

• 3500 ways