We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

GRE Subject Test: Math : Combinational Analysis

Study concepts, example questions & explanations for GRE Subject Test: Math

Create An Account

All GRE Subject Test: Math Resources

2 Diagnostic Tests 148 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #51 : Other Topics

Evaluate: 14!

Possible Answers:

39916800

87178291200

6227020800

355687428096000

Correct answer:

87178291200

Explanation:

Step 1: Write 14! in multiplication form:

$14!=14\cdot13\cdot12\cdot11\cdot10\cdot9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1$

Step 2: Multiply Out

14!=87178291200

Report an Error

Example Question #12 : Combinational Analysis

Evaluate: $\frac {14!}{13!}$

Possible Answers:

183

Correct answer:

Explanation:

Step 1: Expand the numerator and denominator:

$\frac {14\cdot 13\cdot 12\cdot 11\cdot 10\cdot 9\cdot 8\cdot 7\cdot 6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1}{13\cdot 12\cdot 11\cdot 10\cdot 9\cdot 8\cdot 7\cdot 6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1}$

Step 2: Cross all numbers out that are common to both the numerator and denominator:

We are left with .

The value of $\frac {14!}{13!}=14$

Report an Error

Example Question #61 : Other Topics

What is ?

Possible Answers:

720

Correct answer:

Explanation:

Step 1: Recall definition of factorial...

Factorial is a mathematical expression where you multiply by every number below it until I hit . To find each number, subtract from the previous number

Step 2: Write out

3!=3(3-1)(3-2)(1)=3(2)(1)=6(1)=6

3!=6

Report an Error

Example Question #61 : Other Topics

Evaluate:

Possible Answers:

40320

120

3628800

5040

Correct answer:

40320

Explanation:

Step 1: Evaluate
Factorial-Multiply the number in front of the exclamation point by every number below until I hit
8!=8*7*6*5*4*3*2*1=40320

Report an Error

Example Question #62 : Other Topics

Evaluate: 2!*3!*4!

Possible Answers:

256

288

273

179

Correct answer:

288

Explanation:

Step 1: Evaluate each factorial expression separately...

2!=2*1=2
3!=3*2*1=6
4!=4*3*2*1=24

Step 2: Take the evaluation of each expression and apply the operations in the problem:

So, we get 2*6*24=288

Report an Error

Example Question #63 : Other Topics

Evaluate: $3!^{2^{3!}}$

Possible Answers:

$6^{12}$

$6^{6^{6}}$

6^4

4^6

Correct answer:

$6^{12}$

Explanation:

Step 1: Apply the power rule (stacked) of exponents..

We get $3!^{2*3!}$

Step 2: Evaluate the exponent...

We get $3!^{2*6}=3!^{12}$

Step 3: Re-write the base:

Final answer: $6^{12}$

Report an Error

Example Question #64 : Other Topics

Evaluate: $\large 4(3!)$

Possible Answers:

12!

$\large 24$

$\large 6!$

Correct answer:

$\large 24$

Explanation:

Step 1: Evaluate the parentheses first

$\large (3!)=(3*2*1)=6$

Step 2: Multiply the outside by the final value in Step 1..

$\large 6(4)=24$

Report an Error

Example Question #65 : Other Topics

Evaluate: $\large 5!$

Possible Answers:

$\large 120$

$\large 360$

$\large 121$

$\large 720$

Correct answer:

$\large 120$

Explanation:

Step 1: Define Factorial

Factorial is a mathematical expression which you multiply the number in front of the exclamation point by every number below it until you hit 1..

Step 2: Evaluate $\large 5!$

$\large 5!=5(5-1)(5-2)(5-3)(5-4)$
$\large 5!=5*4*3*2*1=120$

Report an Error

Example Question #66 : Probability & Statistics

Evaluate:

7!-6(6!)

Possible Answers:

None of the other answers

432

720

120

480

Correct answer:

720

Explanation:

Evaluate $\large 7!$ :

$\large 7!=7\cdot 6\cdot5\cdot4\cdot3\cdot2\cdot1=5040$

Evaluate $\large 6(6!)$ :

$\large \large 6(6!)=6(6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1)=6(720)=4320$

Evaluate $\large 7!-6(6!)$ :

$\large 5040-4320=720$

Report an Error

Example Question #17 : Factorials

Simplify the following expression:

$\frac{12!}{10!-4!}$

Possible Answers:

132

366

132.0009

121

123.004

Correct answer:

132.0009

Explanation:

Recall that ! means factorial in math. This means we multiply the number by all positive integers less than itself. In other words, this...

$\frac{12!}{10!-4!}$

Becomes

$\frac{1\cdot 2\cdot3\cdot 4\cdot5\cdot6\cdot7\cdot8\cdot9\cdot10\cdot11\cdot12}{(1\cdot2\cdot3\cdot4\cdot5\cdot6\cdot7\cdot8\cdot9\cdot10)-(1\cdot2\cdot3\cdot 4)}$

This is a great job for a calculator, which yields:

132.0009

Report an Error

View Tutors

Reza
Certified Tutor

University of Sherbrooke, Doctor of Philosophy, Mathematics. University of Manitoba, Master of Science, Mathematics.

View Tutors

Gregory
Certified Tutor

Pennsylvania State University-Main Campus, Bachelor of Science, Chemical Engineering. Carnegie Mellon University, Doctor of P...

View Tutors

Abdul Azeez
Certified Tutor

University of Manitoba, Master's/Graduate, Business.

All GRE Subject Test: Math Resources

2 Diagnostic Tests 148 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

ACT Tutors in Philadelphia, GRE Tutors in Miami, SSAT Tutors in Miami, ISEE Tutors in Boston, SSAT Tutors in Washington DC, Calculus Tutors in Dallas Fort Worth, Calculus Tutors in Los Angeles, English Tutors in Chicago, Spanish Tutors in Atlanta, SSAT Tutors in Houston

Popular Courses & Classes

GRE Courses & Classes in Los Angeles, ISEE Courses & Classes in Atlanta, ACT Courses & Classes in San Diego, GMAT Courses & Classes in Philadelphia, SSAT Courses & Classes in Chicago, SAT Courses & Classes in Miami, GMAT Courses & Classes in San Francisco-Bay Area, GRE Courses & Classes in San Diego, MCAT Courses & Classes in New York City, LSAT Courses & Classes in Houston

Popular Test Prep

ACT Test Prep in San Diego, GMAT Test Prep in Philadelphia, ACT Test Prep in Seattle, SAT Test Prep in New York City, SAT Test Prep in San Francisco-Bay Area, ISEE Test Prep in Philadelphia, LSAT Test Prep in New York City, SSAT Test Prep in Washington DC, MCAT Test Prep in Seattle, GRE Test Prep in San Diego

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

GRE Subject Test: Math : Combinational Analysis

Study concepts, example questions & explanations for GRE Subject Test: Math

All GRE Subject Test: Math Resources

Example Questions

Example Question #51 : Other Topics

Example Question #12 : Combinational Analysis

Example Question #61 : Other Topics

Example Question #61 : Other Topics

Example Question #62 : Other Topics

Example Question #63 : Other Topics

Example Question #64 : Other Topics

Example Question #65 : Other Topics

Example Question #66 : Probability & Statistics

Example Question #17 : Factorials

All GRE Subject Test: Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: