Last visit was: 27 Mar 2025, 10:07 It is currently 27 Mar 2025, 10:07
Close
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
Your Progress

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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
User avatar
broilerc
Joined: 17 Jan 2016
Last visit: 17 Jul 2016
Posts: 8
Own Kudos:
526
 [21]
Given Kudos: 46
Posts: 8
Kudos: 526
 [21]
1
Kudos
Add Kudos
20
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 27 March 2025
Posts: 100,113
Own Kudos:
711,346
 [8]
Given Kudos: 92,732
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 100,113
Kudos: 711,346
 [8]
4
Kudos
Add Kudos
4
Bookmarks
Bookmark this Post
General Discussion
avatar
bazu
Joined: 17 Aug 2016
Last visit: 06 Apr 2020
Posts: 37
Own Kudos:
14
 [1]
Given Kudos: 81
Posts: 37
Kudos: 14
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
avatar
anasmousa
Joined: 05 Aug 2017
Last visit: 08 Mar 2018
Posts: 4
Posts: 4
Kudos: 0
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Why you are product them rather than add them ?

Sent from my BLL-L21 using GMAT Club Forum mobile app
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 27 March 2025
Posts: 100,113
Own Kudos:
Given Kudos: 92,732
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 100,113
Kudos: 711,346
 [17]
1
Kudos
Add Kudos
16
Bookmarks
Bookmark this Post
anasmousa
Why you are product them rather than add them ?

Sent from my BLL-L21 using GMAT Club Forum mobile app

Because of Principle of Multiplication.

Principle of Multiplication
If an operation can be performed in ‘m’ ways and when it has been performed in any of these ways, a second operation that can be performed in ‘n’ ways then these two operations can be performed one after the other in ‘m*n’ ways.

21. Combinatorics/Counting Methods



For more:
ALL YOU NEED FOR QUANT ! ! !
Ultimate GMAT Quantitative Megathread


Hope it helps.
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 27 Mar 2025
Posts: 20,413
Own Kudos:
25,452
 [4]
Given Kudos: 292
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 20,413
Kudos: 25,452
 [4]
3
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
broilerc
An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 7 stocks are possible?

A. 12
B. 19
C. 60
D. 180
E. 720

We have a basic combination problem in which an analyst has to select 3 industrial stocks from 5, 2 transportation stocks from 4, and 2 utility stocks from 3. Let’s determine the number of ways to select each type of stock.

3 industrial stocks from 5: 5C3 = (5 x 4 x 3)/3! = (5 x 4 x 3)/(3 x 2 x 1) = 10 ways

2 transportation stocks from 4: 4C2 = (4 x 3)/2! = (4 x 3)/(2 x 1) = 6 ways

2 utility stocks from 3: 3C2 = (3 x 2)/2! = (3 x 2)/(2 x 1) = 3 ways

Since the analyst is choosing all 3 types of stocks, there are 10 x 6 x 3 = 180 ways to select the stocks.

Answer: D
User avatar
AnkurGMAT20
Joined: 12 Jul 2020
Last visit: 13 Mar 2025
Posts: 142
Own Kudos:
824
 [1]
Given Kudos: 265
Location: India
Schools: IIM IIM IIM IIM
GMAT Focus 1: 615 Q79 V83 DI79
GMAT 1: 530 Q42 V20
GMAT 2: 640 Q48 V29
GPA: 6.23
Schools: IIM IIM IIM IIM
GMAT Focus 1: 615 Q79 V83 DI79
GMAT 2: 640 Q48 V29
Posts: 142
Kudos: 824
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel, GMAT Prep Question. Please tag it.
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 27 March 2025
Posts: 100,113
Own Kudos:
Given Kudos: 92,732
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 100,113
Kudos: 711,346
Kudos
Add Kudos
Bookmarks
Bookmark this Post
AnkurGMAT20
Bunuel, GMAT Prep Question. Please tag it.

____________________
Done. Thank you.
User avatar
GMATWhizTeam
User avatar
GMATWhiz Representative
Joined: 07 May 2019
Last visit: 20 Mar 2025
Posts: 3,386
Own Kudos:
Given Kudos: 68
Location: India
GMAT 1: 740 Q50 V41
GMAT 2: 760 Q51 V40
Expert
Expert reply
GMAT 2: 760 Q51 V40
Posts: 3,386
Kudos: 2,023
Kudos
Add Kudos
Bookmarks
Bookmark this Post
The analyst has to choose 3 industrial socks from 5; the number of ways to do this = \(5_C_3\) = 10

The analyst has to choose 2 transportation socks from 4; the number of ways to do this = \(4_C_2\) = 6

Finally, the analyst has to choose 2 utility socks from 3; the number of ways in which this can be done = \(3_C_2\) = 3

Total possible number of combinations of 7 socks = 10 * 6 * 3 = 180.
The correct answer option is D.
User avatar
Crater
Joined: 14 May 2023
Last visit: 26 Nov 2024
Posts: 53
Own Kudos:
Given Kudos: 9
Location: India
Posts: 53
Kudos: 59
Kudos
Add Kudos
Bookmarks
Bookmark this Post
broilerc
An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 7 stocks are possible?
5C3*4C2*3C2=180

If this would have been a question with repetition/twisted language this would have been an exciting one!
avatar
ManifestDreamMBA
Joined: 17 Sep 2024
Last visit: 27 March 2025
Posts: 522
Own Kudos:
Given Kudos: 181
Products:
Posts: 522
Kudos: 276
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Paying close attention to numbers can help eliminate some answer choice. For e.g. it cannot be 3*2*2 = 12 because we have more options to pick from.

5C3*4C2*3C2=180

broilerc
An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 7 stocks are possible?

A. 12
B. 19
C. 60
D. 180
E. 720

--
Moderators:
Math Expert
100112 posts
PS Forum Moderator
518 posts