Alg 2 Unit 11 Mod 2 Counting Principle

Front

What is the Counting Principle?

Back

The 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 outcomes are there when rolling two six-sided dice?

Back

36 outcomes (6 sides on the first die × 6 sides on the second die).

Front

If 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).

Front

What is the formula for calculating the number of license plate combinations with 3 letters followed by 3 numbers, allowing repetition?

Back

26^3 × 10^3 = 17,576,000 combinations.

Front

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

Back

192 different pizzas (8 × 4 × 3 × 2).

Front

What is the factorial notation for arranging 6 classes in a school schedule?

Back

6! = 720 different arrangements.

Front

Define 'permutation' in the context of counting principles.

Back

A permutation is an arrangement of objects in a specific order.

Front

Define 'combination' in the context of counting principles.

Back

A combination is a selection of objects without regard to the order.

Front

What is the total number of outcomes when flipping a coin 3 times?

Back

8 outcomes (2^3 = 2 × 2 × 2).

Front

How do you calculate the number of outcomes for a multiple-choice test with 4 questions, each having 3 options?

Back

3^4 = 81 outcomes.