Combinatorics #2

Expert replies

papgust: Community Manager; Posts: 1537; Joined: Mon Aug 10, 2009 6:10 pmFollowed by: 252 members; Thanked: 653 times

by papgust » Sun Oct 18, 2009 5:11 am

In how many ways can 10 identical presents be distributed among 6 children so that each child gets at least one present?

A. 15C5
B. 16C6
C. 9C5
D. 6^10
E. None of these

Solution and explanation pls?

Like this post

Source: Beat The GMAT — Problem Solving | Sun Oct 18, 2009 5:11 am

papgust: Community Manager; Posts: 1537; Joined: Mon Aug 10, 2009 6:10 pmFollowed by: 252 members; Thanked: 653 times

by papgust » Tue Oct 20, 2009 1:18 am

Can someone help me solve the prob?

Like this post

ayashlaha: Junior | Next Rank: 30 Posts; Posts: 10; Joined: Sun Oct 25, 2009 2:09 pm; Thanked: 2 times

by ayashlaha » Thu Oct 29, 2009 4:36 pm

There's 1 way in which each child gets a gift

That leaves us with 4 gifts amongs 6 children. There are 15 ways to do this 6!/(4!.2!)

Thus a total of 16 ways.

However I'm not sure. Someone please confirm the official answer

Like this post

Post new topic Post Reply

• Page 1 of 1

GMAT Course Reviews

560 reviews

1168 reviews

431 reviews

359 reviews

147 reviews

5/5

5 Star (560 Reviews)

"Target Test Prep is the closest to the official version of the GMAT exam, about 99% accuracy in terms of the quality and quantity of information. The course has excellently created singular sets of focused lessons and tests for every possible topic that one could come across in the official GMAT exam."

"The TTP course maximizes the efficiency of the time you spend studying. It will take time and effort but I could almost guarantee that if you complete the course exactly as it is laid out you will get an amazing score. They also have a very responsive team willing to help with any questions you might have."

"TTP has two things that I think no other test prep company offers: A teaching approach that reinforces understanding and an attitude that will give you the mental preparedness needed to succeed on the test. TTP gives you a deep understanding of the concept you need to know while teaching you how to think."

Write a Review