High School Math : Understanding Factorials

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 : Understanding Factorials

What is the value of  ? 

Possible Answers:

24

6

10

4

12

Correct answer:

24

Explanation:

! is the symbol for factorial, which means the product of the whole numbers less than the given number. 

Thus,

Example Question #172 : Mathematical Relationships And Basic Graphs

What is the value of  ? 

Possible Answers:

Correct answer:

Explanation:

By definition, 

Example Question #2 : Understanding Factorials

Find the value of:

Possible Answers:

Correct answer:

Explanation:

The factorial sign (!) just tells us to multiply that number by every integer that leads up to it.  So,  can also be written as: 

To make this easier for ourselves, we can cancel out the numbers that appear on both the top and bottom:

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