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.
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.
A. 8
B. 6
C. 16
D. 9
Correct Answer: A
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.
Q1: A restaurant offers 5 appetizers and 7 main courses. How many ways can a customer order a two-course meal?
Q2: A password requires 6 characters. Each character can be a number between 0-9 or a letter between a-z. Characters can be repeated. How many possible passwords can be created?
Q: When do I use the multiplication principle?
A: Use it when you want to find the total number of ways to perform multiple independent tasks or events.
Q: What does 'independent events' mean?
A: Independent events are events where the outcome of one event doesn't affect the outcome of another.