Understanding Factorials, Permutations, and Combinations

This video tutorial demonstrates how to use a free online graphing calculator to evaluate factorials, permutations, and combinations. It explains the concepts of permutations and combinations, using examples of eight items selected or chosen five at a time. The video provides step-by-step instructions on how to input these calculations into the calculator, including the specific notation required. It also guides viewers on where to find help and notation references within the calculator's interface. The tutorial aims to enhance understanding of these mathematical concepts and their practical application using the calculator.

What are the main topics covered in this video tutorial?

• Graphing linear equations

• Factorials, permutations, and combinations

• Matrix operations

• Solving quadratic equations

In the context of this video, what does '8 permute 5' mean?

• Arranging 8 items in 5 different ways

• Selecting 5 items from a set of 8

• Combining 5 items into 8 groups

• Choosing 8 items from a set of 5

What is the value of '8 choose 5' as calculated in the video?

• 8

• 56

• 6,720

• 40,320

Which notation is used to calculate a factorial on the online graphing calculator?

• n!

• nCr

• nPr

• !

How do you enter '8 permute 5' in the calculator?

• 8!5

• nPr(8,5)

• 8C5

• 8P5

What is the result of '8 permute 5' as shown in the video?

• 8

• 56

• 6,720

• 40,320

What is the first step to calculate '8 choose 5' using the calculator?

• Enter 5!

• Enter 8P5

• Enter nCr(8,5)

• Enter 8!

What is the factorial of 8 as calculated in the video?

• 5,040

• 40,320

• 6,720

• 56

Where can you find the notation for permutations and combinations in the calculator?

• In the help menu under function reference

• On the calculator's homepage

• In the main menu

• Under the settings tab

What is the purpose of the help menu in the calculator?

• To solve equations

• To provide notations and functions

• To calculate integrals

• To graph functions