Lesson 5.7 Multiplication Counting Principle and Permutations

Front

What is the Multiplication Counting Principle?

Back

The Multiplication 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 do you calculate combinations?

Back

Front

What does 7! (7 factorial) represent?

Back

Front

What is a permutation?

Back

Front

If a basketball team has 11 players, how many ways can a coach choose 5 starting players?

Back

Front

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

Back

Using the Multiplication Counting Principle: 4 × 5 × 3 = 60 different versions.

Front

What is the formula for calculating permutations of 'n' items taken 'r' at a time?

Back

Front

How many different meals can be made with 3 main courses, 6 starters, and 5 desserts?

Back

Using the Multiplication Counting Principle: 3 × 6 × 5 = 90 different meals.

Front

Back

Front

What is the difference between combinations and permutations?

Back

Combinations are selections where order does not matter, while permutations are arrangements where order does matter.