Fundamental Counting Principle

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 do both.

Front

How many ways can you arrange 3 cupcakes from 5 different toppings?

Back

60 ways (5 × 4 × 3 = 60).

Front

If you have 4 ice cream flavors and 4 toppings, how many combinations can you create?

Back

16 combinations (4 × 4 = 16).

Front

What is the formula to calculate the total number of outcomes in a scenario with multiple choices?

Back

Multiply the number of choices for each option.

Front

A car model has 4 trim levels, 5 colors, and 3 interiors. How many different versions can be created?

Back

60 versions (4 × 5 × 3 = 60).

Front

If a restaurant has 5 main dishes, 3 salads, and 4 desserts, how many different meals can be ordered?

Back

60 meals (5 × 3 × 4 = 60).

Front

How many different 1-scoop ice cream cones can be ordered with 3 types of cones and 31 flavors?

Back

93 cones (3 × 31 = 93).

Front

What is a combination in counting principles?

Back

A combination is a selection of items where the order does not matter.

Front

What is a permutation in counting principles?

Back

A permutation is an arrangement of items where the order does matter.

Front

If you have 3 shirts and 2 pairs of pants, how many outfits can you create?

Back

6 outfits (3 × 2 = 6).