Fundamental Counting Principal

Front

What is the Fundamental Counting Principle?

Back

The Fundamental Counting Principle states that if there are 'm' ways to do one thing and 'n' ways to do another, then there are m × n ways to perform both actions.

Front

How many different lunch combinations can be made with 6 sandwiches, 3 types of chips, and 5 beverages?

Back

270 combinations (6 × 3 × 5 = 90).

Front

If a sandwich can be made with 3 types of meat, 2 types of cheese, and 2 types of condiments, how many different sandwiches can be made?

Back

12 sandwiches (3 × 2 × 2 = 12).

Front

How many different pizzas can be made with 8 meats, 4 cheeses, 3 crust types, and 2 sauces?

Back

192 pizzas (8 × 4 × 3 × 2 = 192).

Front

What is the total number of outcomes when tossing a coin 5 times?

Back

32 outcomes (2^5 = 32).

Front

How many different versions of a car can be created with 4 trim levels, 5 colors, and 3 interiors?

Back

60 versions (4 × 5 × 3 = 60).

Front

If a menu has 10 appetizers and 5 main courses, how many different meal combinations can be ordered?

Back

50 combinations (10 × 5 = 50).

Front

What is the formula for calculating the total number of outcomes in a situation with multiple choices?

Back

Total outcomes = (number of choices for option 1) × (number of choices for option 2) × ...

Front

If a shirt comes in 3 sizes and 4 colors, how many different shirts can be made?

Back

12 different shirts (3 × 4 = 12).

Front

How many different ice cream sundaes can be made with 3 flavors of ice cream and 4 toppings?

Back

12 sundaes (3 × 4 = 12).