Algebra II : Factorials

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #61 : Factorials

Divide the factorials:  

Possible Answers:

Correct answer:

Explanation:

Simplify the factorials first.

Replace the values back into the problem.

The answer is:  

Example Question #62 : Factorials

Simplify:  

Possible Answers:

Correct answer:

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.

The answer is:  

Example Question #63 : Factorials

Divide the factorials:  

Possible Answers:

Correct answer:

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.

The answer is:  

Example Question #64 : Factorials

Multiply:  

Possible Answers:

Correct answer:

Explanation:

Simplify the inner parentheses and expand the factorials.

Cancel out common terms.

The answer is:  

Example Question #65 : Factorials

Multiply:  

Possible Answers:

Correct answer:

Explanation:

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

Cancel all the common terms and write the remaining numbers.

The answer is:  

Example Question #66 : Factorials

Divide:  

Possible Answers:

Correct answer:

Explanation:

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

Simplify the numerator and denominator.

The answer is:  

Example Question #67 : Factorials

Multiply:   

Possible Answers:

Correct answer:

Explanation:

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

The answer is:  

Example Question #68 : Factorials

Divide:  

Possible Answers:

Correct answer:

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.

The answer is:  

Example Question #69 : Factorials

Solve:  

Possible Answers:

Correct answer:

Explanation:

Evaluate the terms in the parentheses first.

Expand the factorials.

The fraction, after simplifying all the terms, becomes:

The answer is:  

Example Question #70 : Factorials

Solve the factorials:  

Possible Answers:

Correct answer:

Explanation:

Simplify the terms in parentheses first.

Evaluate each factorial by writing out the terms.

Simplify the parentheses.

Simplify all the common terms.

The answer is:  

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