There are 15 questions in a test paper in which the question : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 21 Jan 2017, 03:28

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# There are 15 questions in a test paper in which the question

Author Message
TAGS:

### Hide Tags

Manager
Joined: 24 Aug 2012
Posts: 129
Followers: 2

Kudos [?]: 211 [0], given: 2

There are 15 questions in a test paper in which the question [#permalink]

### Show Tags

11 Nov 2012, 10:26
1
This post was
BOOKMARKED
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 4 sessions

### HideShow timer Statistics

There are 15 questions in a test paper in which the questions need to be correctly matched with 15 answer choices. A student is awarded 6 marks for a correct answer. What is the maximum number of students who give different sets of correct answers and get 66 marks in the test

a. 13600
b. 12285
c. 14480
d. 13845
e. None of these
_________________

Push +1 kudos button please, if you like my post

VP
Joined: 24 Jul 2011
Posts: 1126
GMAT 1: 780 Q51 V48
GRE 1: 1540 Q800 V740
Followers: 124

Kudos [?]: 540 [0], given: 19

Re: There are 15 questions in a test paper in which the question [#permalink]

### Show Tags

11 Nov 2012, 22:38
The number of ways to choose 11 questions to be answered correctly from the 15 = 15C11 = 1365
The number of ways of answering the 4 remaining questions wrongly = 4![1/2! - 1/3! + 1/4!] = 9 (derangement formula)

Therefore the maximum number of students = 1365 * 9 = 12285

Option (B)
_________________

GyanOne | Top MBA Rankings and MBA Admissions Blog

Premium MBA Essay Review|Best MBA Interview Preparation|Exclusive GMAT coaching

Get a FREE Detailed MBA Profile Evaluation | Call us now +91 98998 31738

Manager
Joined: 26 Jul 2011
Posts: 126
Location: India
WE: Marketing (Manufacturing)
Followers: 1

Kudos [?]: 109 [0], given: 15

Re: There are 15 questions in a test paper in which the question [#permalink]

### Show Tags

11 Nov 2012, 23:27
GyanOne wrote:
The number of ways to choose 11 questions to be answered correctly from the 15 = 15C11 = 1365
The number of ways of answering the 4 remaining questions wrongly = 4![1/2! - 1/3! + 1/4!] = 9 (derangement formula)

Therefore the maximum number of students = 1365 * 9 = 12285

Option (B)

Hi Gyanone can you please explain this part?? " 4![1/2! - 1/3! + 1/4!]"
Re: There are 15 questions in a test paper in which the question   [#permalink] 11 Nov 2012, 23:27
Similar topics Replies Last post
Similar
Topics:
3 A question paper consists of two sections A and B having respectively 1 12 Dec 2014, 00:48
4 In a Question paper there are 4 multiple choice questions 6 18 Oct 2012, 12:54
13 Fractions Question From GMAT Club Test (m25#15) 7 07 May 2011, 23:27
2 Difficult questions from a practice test 2 30 Apr 2011, 19:45
6 prep test question- combinations 22 21 May 2010, 11:52
Display posts from previous: Sort by