Understanding Factorials, Permutations, and Combinations

This video tutorial demonstrates how to use a free online calculator to compute factorials, permutations, and combinations. It provides step-by-step instructions for calculating eight factorial, the permutation of eight items taken five at a time, and the combination of eight items chosen five at a time. The tutorial emphasizes the difference between permutations, where order matters, and combinations, where order does not matter. The video concludes with recording the calculated results.

What is the primary function of the online calculator introduced in the video?

• To perform matrix operations

• To solve algebraic equations

• To calculate factorials, permutations, and combinations

• To graph linear functions

In the context of permutations, why is the order of items important?

• Because it determines the sequence of operations

• Because it changes the factorial value

• Because it affects the total number of combinations

• Because it affects the total number of permutations

Which of the following statements is true about combinations?

• The order of items is crucial

• The order of items does not matter

• Combinations are always larger than permutations

• Combinations require a different calculator

What values are entered into the calculator for the example problem?

• n = 5, r = 8

• n = 8, r = 5

• n = 8, r = 8

• n = 5, r = 5

What is the result of eight factorial as calculated in the video?

• 40,320

• 5,040

• 6,720

• 56

How many combinations are there when choosing five items from eight?

• 40,320

• 120

• 6,720

• 56