# Algebra II : Factorials

## Example Questions

### Example Question #61 : Factorials

Divide the factorials:

Explanation:

Simplify the factorials first.

Replace the values back into the problem.

### Example Question #62 : Factorials

Simplify:

Explanation:

Simplify the denominator.

Rewrite each factorial in the given fraction.  Do not distribute the two through the quantity or this will change the value of the factorial.

Reduce this fraction.

### Example Question #63 : Factorials

Divide the factorials:

Explanation:

To simplify this, we will need to evaluate the parentheses first.  Do not distribute the integer two into the binomial, or the factorial value will change.

Expand the factorials.

Simplify the top and bottom terms.

### Example Question #64 : Factorials

Multiply:

Explanation:

Simplify the inner parentheses and expand the factorials.

Cancel out common terms.

### Example Question #65 : Factorials

Multiply:

Explanation:

In order to solve this, we will need to expand all the factorials.

Cancel all the common terms and write the remaining numbers.

### Example Question #66 : Factorials

Divide:

Explanation:

In order to simplify the factorials, expand all the terms first.

Simplify the numerator and denominator.

### Example Question #67 : Factorials

Multiply:

Explanation:

Evaluate by expanding the factorial in the parentheses.  The zero factorial is a special case which equals to one.

### Example Question #68 : Factorials

Divide:

Explanation:

Evaluate by expanding the terms of the factorials.

Cancel out the common terms in the first fraction.

Change the division sign to a multiplication and take the reciprocal of the second quantity.

### Example Question #69 : Factorials

Solve:

Explanation:

Evaluate the terms in the parentheses first.

Expand the factorials.

The fraction, after simplifying all the terms, becomes:

### Example Question #70 : Factorials

Solve the factorials:

Explanation:

Simplify the terms in parentheses first.

Evaluate each factorial by writing out the terms.

Simplify the parentheses.

Simplify all the common terms.