Understanding Factorials

This video tutorial covers the concept of factorials, including single, double, and iterated factorials. It begins with an explanation of basic factorials, using examples like 5! and 7!. The tutorial then introduces double factorials, explaining how they differ from regular factorials and providing examples such as 5!! and 8!!. The video also covers iterated factorials, demonstrating the calculation process with examples like 3!!. Finally, the tutorial offers practice problems to reinforce understanding of these concepts.

What is the value of 5 factorial?

• 120

• 24

• 60

• 720

How do you calculate 7 factorial using 5 factorial?

• 7 x 5 x 3!

• 7 x 6 x 4!

• 7 x 5 x 4!

• 7 x 6 x 5!

What is the main difference between a double factorial and a regular factorial?

• Double factorial is halved

• Double factorial decreases by 2

• Double factorial increases by 2

• Double factorial is squared

How is 5 double factorial calculated?

• 5 x 3 x 1

• 5 x 4 x 3

• 5 x 3 x 2

• 5 x 2 x 1

What is an iterated factorial?

• Square of a factorial

• Half factorial

• Double factorial

• Factorial of a factorial

How do you calculate the iterated factorial of 3?

• 120

• 720

• 6

• 24

What is the value of 9 factorial?

• 362,880

• 720

• 40,320

• 5,040

How is the double factorial of 10 calculated?

• 10 x 8 x 6 x 4 x 2

• 10 x 8 x 4 x 2

• 10 x 9 x 8 x 7 x 6

• 10 x 5 x 2

What is the approximate value of 24 factorial?

• 6.20448 x 10^23

• 1.2 x 10^19

• 2.4 x 10^18

• 5.0 x 10^20

Which type of factorial results in a higher value for small numbers?

• Iterated factorial

• Half factorial

• Double factorial

• Regular factorial