Multiplication Principle

Definition of Multiplication Principle

Multiplication Principle states: If an event occurs in m ways and another event occurs independently in n ways, then the two events can occur in m n ways.

Examples of Multiplication Principle

    A pizza corner sells pizza in 3 sizes with 3 different toppings. If Bob wants to pick one pizza with one topping, there is a possibility of 9 combinations as the total number of outcomes is equal to Number of sizes of pizza Number of different toppings.

Video Examples: Multiplication Principle - Finite Math


Solved Example on Multiplication Principle

Ques: Brad is throwing a party. He is planning to serve Sandwiches and Ice creams to his guests. He has ordered four different types of Sandwiches: Hamburger (H), Grilled Sandwich (GS), Boiled Sandwich (BS) and Pressed Sandwich (PS), and two different flavors of Ice creams: Chocolate(C) and Strawberry (S). Find the number of possible combinations of a Sandwich and an Ice cream that Brad can serve to each of his guests.

    Choices:
    A. 8
    B. 6
    C. 16
    D. 9
    Correct Answer: A

Solution:

    Step 1: The total number of outcomes = Number of possibilities of sandwich Number of possibilities of ice cream
    Step 2: = 4 2 = 8 [As there are four different types of sandwiches and two different flavors of ice cream.]
    Step 3: So, Brad can serve to each of his guests a Sandwich and an Ice cream in 8 different combinations.