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High School Math : Understanding Factorials

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Example Questions

Example Question #171 : Mathematical Relationships And Basic Graphs

What is the value of $\displaystyle 4!$ ?

Possible Answers:

Correct answer:

Explanation:

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

Thus, $\displaystyle 4! = 4 * 3 * 2 * 1 = 24$ .

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Example Question #2 : Factorials

What is the value of $\displaystyle 4!$ ?

Possible Answers:

$\displaystyle 8$

$\frac{1}{4}$ $\displaystyle \frac{1}{4}$

$\displaystyle 24$

$\displaystyle 4$

$\displaystyle 16$

Correct answer:

$\displaystyle 24$

Explanation:

By definition, $4! = 4 \cdot 3 \cdot 2 \cdot 1= 24$ $\displaystyle 4! = 4 \cdot 3 \cdot 2 \cdot 1= 24$ .

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Example Question #1 : Factorials

Find the value of:

$\frac{7!}{3!}$ $\displaystyle \frac{7!}{3!}$

Possible Answers:

840 $\displaystyle 840$

210 $\displaystyle 210$

2520 $\displaystyle 2520$

2.33 $\displaystyle 2.33$

$\displaystyle 4$

Correct answer:

840 $\displaystyle 840$

Explanation:

The factorial sign (!) just tells us to multiply that number by every integer that leads up to it. So, $\frac{7!}{3!}$ $\displaystyle \frac{7!}{3!}$ can also be written as:

$\frac{(7\times6\times5\times4\times3\times2\times1)}{(3\times2\times1)}$ $\displaystyle \frac{(7\times6\times5\times4\times3\times2\times1)}{(3\times2\times1)}$

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

$7\times6\times5\times4 = 840$ $\displaystyle 7\times6\times5\times4 = 840$

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High School Math : Understanding Factorials

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #171 : Mathematical Relationships And Basic Graphs

Example Question #2 : Factorials

Example Question #1 : Factorials

All High School Math Resources

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