Tree Diagram and Fundamental Counting Principle

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

How many outcomes are possible in rolling two dice?

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.

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

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

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?