• NEW! FREE Beat The GMAT Quizzes
Hundreds of Questions Highly Detailed Reporting Expert Explanations
• 7 CATs FREE!
If you earn 100 Forum Points

Engage in the Beat The GMAT forums to earn
100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## Combinatorics DS ##### This topic has 4 member replies ## Combinatorics DS A college admissions committee will grant a certain number of$10,000 scholarships, $5,000 scholarships, and$1,000 scholarships. If no student can receive more than one scholarship, how many different ways can the committee dole out the scholarships among the pool of 10 applicants?

(1) In total, six scholarships will be granted.

(2) An equal number of scholarships will be granted at each scholarship level.

Combinatorics is where I am weak, would really appreciate a response with explanations. Thanks!

OA C

Master | Next Rank: 500 Posts
Joined
01 Sep 2007
Posted:
111 messages
4
crak.gmat wrote:
A college admissions committee will grant a certain number of $10,000 scholarships,$5,000 scholarships, and $1,000 scholarships. If no student can receive more than one scholarship, how many different ways can the committee dole out the scholarships among the pool of 10 applicants? (1) In total, six scholarships will be granted. (2) An equal number of scholarships will be granted at each scholarship level. Combinatorics is where I am weak, would really appreciate a response with explanations. Thanks! OA C To allay your fear of combinatorics, remember that you don't have to calculate the value..you have to tell whether the data is sufficient to calculate the value The data we require to get all possible combinations is 1) How many EACH (5k, 1k etc..)type of scholarship are present because if we know this value for each type, we can calculate the value for different ways to distribute among 10 student (given value) Stmt 1 -> gives total number of scholarship => 6 Stmt 2 -> equal number of each type of scholarship are to be given. so, we have 2 scholarship of each type from 1st and 2nd. Hence, we have answer to the question above, that we can calculate the values from given data NOTE - we didn't had to calculate the values Senior | Next Rank: 100 Posts Joined 14 Sep 2008 Posted: 55 messages Upvotes: 10 Test Date: 11-08-2012 GMAT Score: 680 isn't it A? first one tells that order is important as one student can have only one scholarship. so, number of ways : 10P6 second one doesn't states how many schols to be given and therefore we cant determine how many each type of schols would be given here. So, A is sufficient for the answer here. PS: i too am not concrete in PnC though Junior | Next Rank: 30 Posts Joined 15 Aug 2008 Posted: 12 messages I too think A is sufficient here. 10P6 B does not give us the exact number of prizes which could either be 2 or 3 per scholarship. Can the experts Ian or Stuart please help with this one? Newbie | Next Rank: 10 Posts Joined 15 Sep 2008 Posted: 7 messages Test Date: Sept. 26 2008 Target GMAT Score: 700 In my opinion, A is not sufficient. We'll be able to know what combination of students will get the prize, but we wouldn't know which (10K, 5K, or 1K) type of scholarship these students will receive. If we know that there will be two of each (from (2)), then we will be able to figure that out. But yes, it would be great if the experts can chime in. Thanks! • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Free Trial & Practice Exam 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 GMAT Exam Know how you'd score today for$0

Available with Beat the GMAT members only code

• 5 Day FREE Trial
Study Smarter, Not Harder

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

• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

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

• Magoosh
Study with Magoosh GMAT prep

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

### Top First Responders*

1 Ian Stewart 44 first replies
2 Brent@GMATPrepNow 34 first replies
3 Scott@TargetTestPrep 32 first replies
4 Jay@ManhattanReview 31 first replies
5 GMATGuruNY 18 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

### Most Active Experts

1 Scott@TargetTestPrep

Target Test Prep

139 posts
2 Max@Math Revolution

Math Revolution

90 posts
3 Ian Stewart

GMATiX Teacher

53 posts
4 Brent@GMATPrepNow

GMAT Prep Now Teacher

51 posts
5 Jay@ManhattanReview

Manhattan Review

31 posts
See More Top Beat The GMAT Experts