Call Now to Set Up Tutoring:

(888) 888-0446

GRE Subject Test: Math : Combinations

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 #31 : Combinational Analysis

Find C(8,5) .

Possible Answers:

Correct answer:

Explanation:

There are two types of statistical calculations that are used when dealing with ordering a number of objects. When the order does not matter it is known as a combination and denoted by a C.

$C(n,k)=\frac{n!}{k!(n-k)!}$

Thus the formula for this particular combination is,

$C (8,5) = P \frac{(8,5)}{5!}$

$\frac{8\times 7\times 6\times 5\times 4}{5\times 4\times 3\times 2\times 1} =$

The $5 \times 4$ will cancel out because it is in the numerator and denominator,

$\frac{8\times 7\times 6}{3\times 2\times 1} = \frac{336}{6} = 56$ .

Report an Error

Example Question #81 : Other Topics

Find C (10,4) .

Possible Answers:

10,000

210

240

Correct answer:

210

Explanation:

There are two types of statistical calculations that are used when dealing with ordering a number of objects. When the order does not matter it is known as a combination and denoted by a C.

$C(n,k)=\frac{n!}{k!(n-k)!}$

Thus the formula for this particular combination is,

$C (10,4) = P \frac{(10,4)}{4!}$

$\frac{10\times 9\times 8\times 7}{ 4\times 3\times 2\times 1} =$

$\frac{90\times 56}{12\times 2} = \frac{5040}{24} = 210$

Report an Error

Example Question #31 : Combinational Analysis

Six points are located on a circle. How many line segments can be drawn?

Possible Answers:

Correct answer:

Explanation:

There are two types of statistical calculations that are used when dealing with ordering a number of objects. When the order does not matter it is known as a combination and denoted by a C.

$C(n,k)=\frac{n!}{k!(n-k)!}$

Thus the formula for this particular combination is,

$C=\frac{P(6,2)}{2!}$

There are 2 points on each line segment.

$\frac{6\times 5}{ 2\times 1} = \frac{30}{2} = 15$

Report an Error

Example Question #582 : Gre Subject Test: Math

Evaluate $_{5}C_{3}$ .

Possible Answers:

Correct answer:

Explanation:

Evaluate $_{5}C_{3}$ is asking to calculate the combination of five objects when choosing three of them.

$_{5}C_{3} = \frac{5!}{(5-3)! 3!}$

$_{5}C_{3} = \frac{5!}{(5-3)! 3!} = \frac{5\times 4\times 3\times 2\times 1}{2\times 1\times3 \times 2\times 1}$

or $3\times2\times1$ cancels out.

$_{5}C_{3} = \frac{5\times 4 }{2\times 1}$

$\frac{20}{2} = 10$

Report an Error

Example Question #584 : Gre Subject Test: Math

How many ways can I get non-repetitive three-digit numbers from the numbers: $\{2,3,4,5,6,7,8,9,0\}$ ?

Possible Answers:

443

448

451

441

Correct answer:

448

Explanation:

Step 1: Count how many numbers I can use..

I can use 9 numbers.

Step 2: Determine how many numbers I can put in the first digit of the three-digit number..

I can put  numbers in the first spot. I cannot put  in the first slot because the number will not be a three-digit number.

Step 3: Determine how many numbers I can put in the second digit..

I can also put  numbers in the second spot. Here's the reason why it's still :

Let's say I choose 2 for the first number. I will take out of my set. I had numbers in my set..If i take a number out, I still have  numbers left. These numbers are: 3,4,5,6,7,8,9,0 .

Step 4: Determine how many numbers I can put in the third and final digit...

I can put  numbers in the third slot..

I had  numbers at the start, and then I removed  of them. 9-2=7 .

Step 5: Multiply how many numbers can go in the first, second, and third spot..

$8\cdot8\cdot7=448$ .

There are a total of 448 non-repetitive three-digit numbers that can be formed.

Report an Error

Example Question #82 : Probability & Statistics

A coach of a baseball team needs to choose players out of a total players in the team. How many ways can the coach choose 9 players?

Possible Answers:

21,430

24,310

21,340

23,410

Correct answer:

24,310

Explanation:

Step 1: Recall the combination formula...

$_nC_r=\frac {n!}{r!(n-r)!}$

Step 2: Find and from the question..

n=17, r=9 .

Step 3: Plug in the values into the formula above..

$\frac {17!}{9!(17-9)!}=\frac {17!}{9!\times8!}=24,310$

Report an Error

Example Question #32 : Combinational Analysis

Six people run in a race, in how many different orders can they finish?

Possible Answers:

300

720

46,656

Correct answer:

720

Explanation:

This problem is solved by knowing that we have six options for first place, five options for second place, and so on.

Which means

6*5*4*3*2*1 = 720

Report an Error

View Tutors

Philipp
Certified Tutor

University of Nevada-Las Vegas, Bachelor of Science, Mechanical Engineering.

View Tutors

Edmund
Certified Tutor

University of Ghana, Bachelor of Science, Statistics. university of Ghana, Master of Philosophy, Statistics.

View Tutors

Samuel
Certified Tutor

York University, Bachelor, Physics. York University, Master's/Graduate, Mathematics and Statistics.

All GRE Subject Test: Math Resources

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

Popular Subjects

Biology Tutors in Miami, Computer Science Tutors in Philadelphia, Spanish Tutors in Dallas Fort Worth, LSAT Tutors in Philadelphia, SSAT Tutors in Los Angeles, ACT Tutors in Chicago, Calculus Tutors in Atlanta, ISEE Tutors in Philadelphia, Physics Tutors in Phoenix, Biology Tutors in Dallas Fort Worth

Popular Courses & Classes

ISEE Courses & Classes in Atlanta, ACT Courses & Classes in Chicago, ISEE Courses & Classes in Philadelphia, ISEE Courses & Classes in Boston, SAT Courses & Classes in Washington DC, ISEE Courses & Classes in Washington DC, GRE Courses & Classes in Miami, GRE Courses & Classes in San Diego, Spanish Courses & Classes in Phoenix, Spanish Courses & Classes in Los Angeles

Popular Test Prep

LSAT Test Prep in Philadelphia, MCAT Test Prep in Atlanta, ISEE Test Prep in Washington DC, MCAT Test Prep in Dallas Fort Worth, GRE Test Prep in Dallas Fort Worth, SAT Test Prep in San Diego, GRE Test Prep in Seattle, GRE Test Prep in Boston, LSAT Test Prep in Dallas Fort Worth, GMAT Test Prep in Philadelphia

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 : Combinations

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

All GRE Subject Test: Math Resources

Example Questions

Example Question #31 : Combinational Analysis

Example Question #81 : Other Topics

Example Question #31 : Combinational Analysis

Example Question #582 : Gre Subject Test: Math

Example Question #584 : Gre Subject Test: Math

Example Question #82 : Probability & Statistics

Example Question #32 : Combinational Analysis

All GRE Subject Test: Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: