Practice Test--Lessons 5 & 6--Module 9

Front

What is a permutation?

Back

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

Front

What is a combination?

Back

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

Front

How do you calculate permutations?

Back

Permutations can be calculated using the formula n! / (n - r)!, where n is the total number of items, and r is the number of items to arrange.

Front

How do you calculate combinations?

Back

Combinations can be calculated using the formula n! / [r!(n - r)!], where n is the total number of items, and r is the number of items to choose.

Front

What does 10P5 represent?

Back

10P5 represents the number of ways to arrange 5 items chosen from a set of 10 items.

Front

If you have 8 different meats, 4 different cheeses, 3 different crust types, and 2 different sauces, how many different pizzas can you create?

Back

192 different pizzas (8 * 4 * 3 * 2 = 192).

Front

What is the difference between permutations and combinations?

Back

The difference is that permutations consider the order of selection, while combinations do not.

Front

In a Scrabble game, if you pull 7 letter tiles from a bag, is this a permutation or a combination?

Back

This is a combination because the order of the tiles does not matter.

Front

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

Back

60 different versions (4 * 5 * 3 = 60).

Front

What is the factorial of a number?

Back

The factorial of a number n (denoted as n!) is the product of all positive integers up to n.