• 5 Day FREE Trial
Study Smarter, Not Harder

Available with Beat the GMAT members only code

• Free Trial & Practice Exam
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• 5-Day Free Trial
5-day free, full-access trial TTP Quant

Available with Beat the GMAT members only code

• Free Veritas GMAT Class
Experience Lesson 1 Live Free

Available with Beat the GMAT members only code

• Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

• Get 300+ Practice Questions

Available with Beat the GMAT members only code

• Free Practice Test & Review
How would you score if you took the GMAT

Available with Beat the GMAT members only code

• Award-winning private GMAT tutoring
Register now and save up to $200 Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

Available with Beat the GMAT members only code

## A certain gallery is hanging a series

tagged by: VJesus12

# This topic has 1 expert reply and 0 member replies

VJesus12 Master | Next Rank: 500 Posts
Joined
14 Oct 2017
Posted:
398 messages
Followed by:
3 members

#### A certain gallery is hanging a series

Fri Dec 15, 2017 7:18 am
A certain gallery is hanging a series of 7 paintings. All the paintings will be exhibited in a row along a single wall. Exactly 2 of the paintings are on panel, the remainder are on canvas. In how many ways can the paintings be exhibited if the works on panel must be the second and sixth in the row?

A. 240
B. 200
C. 122
D. 80
E. 16

The OA is A.

What is the formula that I should use to get the answer? I tried to solve it but I couldn't. Experts, I need your help. Thanks.

### GMAT/MBA Expert

DavidG@VeritasPrep Legendary Member
Joined
14 Jan 2015
Posted:
2667 messages
Followed by:
121 members
1153
GMAT Score:
770
Fri Dec 15, 2017 8:02 am
VJesus12 wrote:
A certain gallery is hanging a series of 7 paintings. All the paintings will be exhibited in a row along a single wall. Exactly 2 of the paintings are on panel, the remainder are on canvas. In how many ways can the paintings be exhibited if the works on panel must be the second and sixth in the row?

A. 240
B. 200
C. 122
D. 80
E. 16

The OA is A.

What is the formula that I should use to get the answer? I tried to solve it but I couldn't. Experts, I need your help. Thanks.
If there are two paintings on panel, and there are two spots were we can place them, then there are 2! = 2 ways we can place those paintings.

If there are five paintings on canvas, and there are 5 remaining spots where these paintings can be placed, there are 5! = 120 ways we can place those paintings.

2*120 = 240. The answer is A

_________________
Veritas Prep | GMAT Instructor

Veritas Prep Reviews
Save \$100 off any live Veritas Prep GMAT Course

Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now!

### Top First Responders*

1 Jay@ManhattanReview 76 first replies
2 GMATGuruNY 61 first replies
3 Brent@GMATPrepNow 43 first replies
4 Rich.C@EMPOWERgma... 36 first replies
5 ceilidh.erickson 14 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

### Most Active Experts

1 Brent@GMATPrepNow

GMAT Prep Now Teacher

101 posts
2 GMATGuruNY

The Princeton Review Teacher

95 posts
3 Max@Math Revolution

Math Revolution

82 posts
4 Jay@ManhattanReview

Manhattan Review

80 posts
5 Jeff@TargetTestPrep

Target Test Prep

78 posts
See More Top Beat The GMAT Experts