# Algebra II : Factorials

## Example Questions

### Example Question #26 : Multiplying And Dividing Factorials

Simplify the factorials:

Explanation:

Evaluate the first term.  Write out the terms of the factorial.

Evaluate the second term.

Combine the simplified terms.

### Example Question #27 : Multiplying And Dividing Factorials

Explanation:

When you have factorials in the numerator and denominator of a fraction, you can cancel out the common factors between them. It can help to write the problems in expanded form.

The entire denominator 13 will be cancelled out leaving only

### Example Question #31 : Multiplying And Dividing Factorials

Explanation:

Similar factors that are in both the numerator and denominator of a fraction cancel out. It helps to write it in expanded form.

### Example Question #32 : Multiplying And Dividing Factorials

Explanation:

Common factors on the numerator and denominator of a fraction will cancel. It helps to write problems in expanded form.

Then, reduce the fraction to lowest terms. Both numerator and denominator divide by 48.

### Example Question #33 : Multiplying And Dividing Factorials

Explanation:

Common factors in the numerator and denominator will cancel. It helps to write factorials in expanded form.

### Example Question #34 : Multiplying And Dividing Factorials

Divide the factorials:

Explanation:

Simplify the denominator in the parentheses first.

Rewrite the factorials.

Cancel all the common terms in the numerator and denominator.

The numerator becomes:

### Example Question #35 : Multiplying And Dividing Factorials

Multiply the following factorials:

Explanation:

In order to simplify the factorials, first simplify the parentheses.

Simplify the factorials.

### Example Question #36 : Multiplying And Dividing Factorials

Multiply the factorials:

Explanation:

The value of zero factorial is one.

Replace this value.

Expand the factorials.

### Example Question #37 : Multiplying And Dividing Factorials

Divide the factorials:

Explanation:

Simplify the numerator of the fraction.

Do not reduce the fraction and cancel out the factorials.  Instead, expand both.

Notice that the similar terms on the numerator and denominator will cancel.

The remaining terms are:

### Example Question #38 : Multiplying And Dividing Factorials

Divide the factorials: