It is currently 17 Oct 2017, 11:58

### 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

# GMAT Diagnostic Test Question 39

Author Message
Founder
Joined: 04 Dec 2002
Posts: 15568

Kudos [?]: 28473 [0], given: 5105

Location: United States (WA)
GMAT 1: 750 Q49 V42
GMAT Diagnostic Test Question 39 [#permalink]

### Show Tags

07 Jun 2009, 01:03
Expert's post
5
This post was
BOOKMARKED

GMAT Diagnostic Test Question 39

Field: combinations
Difficulty: 650

Romi has a collection of 10 distinct books out of which 8 are small and 2 are large. In how many ways can he select 5 books to take with him on a trip if he can take at most 1 large book?

A. 56
B. 126
C. 152
D. 196
E. 252
_________________

Founder of GMAT Club

Just starting out with GMAT? Start here... or use our Daily Study Plan

Co-author of the GMAT Club tests

Last edited by Bunuel on 26 Nov 2013, 14:10, edited 5 times in total.
Updated.

Kudos [?]: 28473 [0], given: 5105

Intern
Joined: 04 Aug 2013
Posts: 3

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

Re: GMAT Diagnostic Test Question 39 [#permalink]

### Show Tags

26 Nov 2013, 14:04
Could you update the question on this page to match the question in the downloadable PDF(8 small, 2 large). It took me a while to figure out that the solutions on this page don't match the question at the top of the page(7 small books, 3 large).

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

Math Expert
Joined: 02 Sep 2009
Posts: 41873

Kudos [?]: 128577 [1], given: 12180

Re: GMAT Diagnostic Test Question 39 [#permalink]

### Show Tags

26 Nov 2013, 14:12
1
KUDOS
Expert's post
4
This post was
BOOKMARKED
UPDATED.

SOLUTION:
Romi has a collection of 10 distinct books out of which 8 are small and 2 are large. In how many ways can he select 5 books to take with him on a trip if he can take at most 1 large book?

A. 56
B. 126
C. 152
D. 196
E. 252

Since Romi can take at most 1 large book then he can take with him either 5 small books or 4 small books and 1 large book: $$C^5_8+C^4_8*C^1_2=56+140=196$$.

_________________

Kudos [?]: 128577 [1], given: 12180

Intern
Joined: 11 Oct 2013
Posts: 18

Kudos [?]: 29 [0], given: 34

Location: United Kingdom
GMAT 1: 490 Q32 V25
GPA: 3.9
WE: Other (Other)
Re: GMAT Diagnostic Test Question 39 [#permalink]

### Show Tags

16 Dec 2013, 04:24
Bunuel wrote:
UPDATED.

SOLUTION:
Romi has a collection of 10 distinct books out of which 8 are small and 2 are large. In how many ways can he select 5 books to take with him on a trip if he can take at most 1 large book?

A. 56
B. 126
C. 152
D. 196
E. 252

Since Romi can take at most 1 large book then he can take with him either 5 small books or 4 small books and 1 large book: $$C^5_8+C^4_8*C^1_2=56+140=196$$.

Dear Bunuel,
thanks a lot for your priceless help...
meanwhile could you give alternative way to solve with no formula? cause im just a beginner and it a bit hart to me to keep with formulas
thanks a lot
_________________

Good things come to those who wait… greater things come to those who get off their ass and do anything to make it happen...

Kudos [?]: 29 [0], given: 34

Math Expert
Joined: 02 Sep 2009
Posts: 41873

Kudos [?]: 128577 [0], given: 12180

Re: GMAT Diagnostic Test Question 39 [#permalink]

### Show Tags

16 Dec 2013, 07:43
3111987 wrote:
Bunuel wrote:
UPDATED.

SOLUTION:
Romi has a collection of 10 distinct books out of which 8 are small and 2 are large. In how many ways can he select 5 books to take with him on a trip if he can take at most 1 large book?

A. 56
B. 126
C. 152
D. 196
E. 252

Since Romi can take at most 1 large book then he can take with him either 5 small books or 4 small books and 1 large book: $$C^5_8+C^4_8*C^1_2=56+140=196$$.

Dear Bunuel,
thanks a lot for your priceless help...
meanwhile could you give alternative way to solve with no formula? cause im just a beginner and it a bit hart to me to keep with formulas
thanks a lot

$$C^5_8=\frac{8!}{(8-5)!5!}=56$$ is the number of ways we can choose 5 items out of 8.

Theory on Combinations: math-combinatorics-87345.html

DS questions on Combinations: search.php?search_id=tag&tag_id=31
PS questions on Combinations: search.php?search_id=tag&tag_id=52

Tough and tricky questions on Combinations: hardest-area-questions-probability-and-combinations-101361.html

Hope it helps.
_________________

Kudos [?]: 128577 [0], given: 12180

Re: GMAT Diagnostic Test Question 39   [#permalink] 16 Dec 2013, 07:43
Display posts from previous: Sort by

# GMAT Diagnostic Test Question 39

Moderator: Bunuel

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.