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 many ways can a coach arrange 10 players in a batting order?

Back

3628800 (10!)

Front

What is a permutation?

Back

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

Front

How many ways can a coach choose 5 starting players from 11 players?

Back

462 (using combinations formula C(n, r) = n! / (r!(n-r)!))

Front

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

Back

P(n, r) = n! / (n - r)!.

Front

If a pizza has 8 different meats, 4 cheeses, 3 crust types, and 2 sauces, how many different pizzas can be made?

Back

192 (8 × 4 × 3 × 2).

Front

What is a combination?

Back

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

Front

How many outcomes are there for picking a day of the week and a month of the year?

Back

84 (7 days × 12 months).

Front

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

Back

C(n, r) = n! / (r!(n-r)!).

Front

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

Back

60 (4 × 5 × 3).