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

If a music streaming service offers 10 playlists and 3 subscription plans, how many combinations can a user choose?

Back

30 combinations (10 playlists × 3 plans = 30).

Front

How many outfits can be made with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

Back

80 outfits (5 jeans × 8 t-shirts × 2 shoes = 80).

Front

What is the formula to calculate combinations of two independent choices?

Back

The formula is: Total combinations = (Number of choices for first option) × (Number of choices for second option).

Front

If a wardrobe has 15 pairs of slacks and 23 shirts, how many combinations of slacks and shirts can be made?

Back

345 combinations (15 slacks × 23 shirts = 345).

Front

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

Back

60 versions (4 trims × 5 colors × 3 interiors = 60).

Front

A pizza restaurant offers 12 meat toppings and 5 vegetable toppings. How many ways can you select one topping?

Back

17 ways (12 meat + 5 vegetable = 17).

Front

What is the significance of the Fundamental Counting Principle in problem-solving?

Back

It simplifies the process of counting combinations by allowing multiplication of independent choices.

Front

If you have 3 types of bread and 4 types of cheese, how many sandwich combinations can you make?

Back

12 combinations (3 breads × 4 cheeses = 12).

Front

What is an example of a real-world application of the Fundamental Counting Principle?

Back

Choosing outfits from a wardrobe, planning meals with different ingredients, or selecting options for a product.