Last visit was: 27 Apr 2026, 04:10 It is currently 27 Apr 2026, 04:10
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 27 Apr 2026
Posts: 109,927
Own Kudos:
811,522
 [4]
Given Kudos: 105,913
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,927
Kudos: 811,522
 [4]
James is selecting CDs to take with him on his trip. James will selec 20 Dec 2016, 01:29
Kudos
Add Kudos
4
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

15% (low)

Question Stats:

81% (01:45) correct 19% (01:40) wrong based on 149 sessions

History

Date
Time
Result
Not Attempted Yet
James is selecting CDs to take with him on his trip. James will select 1 jazz disc, 1 pop, 1 country and western and 1 blues. If he has 12 jazz, 10 pop and 15 each of country and western and blues, then how many possible different combinations of CDs could James take on his trip?

A. 52
B. 1,800
C. 6,750
D. 22,500
E. 27,000
ShowHide Answer
Official Answer
E
User avatar
EgmatQuantExpert
User avatar
e-GMAT Representative
Joined: 04 Jan 2015
Last visit: 02 Apr 2024
Posts: 3,657
Own Kudos:
20,894
 [1]
Given Kudos: 165
Expert
Expert reply
Posts: 3,657
Kudos: 20,894
 [1]
James is selecting CDs to take with him on his trip. James will selec Updated on: 21 Dec 2016, 04:10
Originally posted by EgmatQuantExpert on 21 Dec 2016, 02:30.
Last edited by EgmatQuantExpert on 21 Dec 2016, 04:10, edited 1 time in total.
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hey Everyone,

PFB the solution. :)

We are given that we need to select –
    • 1 jazz cd out of 12 jazz.
    • 1 pop cd out of 10 pop.
    • 1 country and western cd out of 15 country and western.
    • 1 blues cd out of 15 blues.

Notice that this question clearly tells us to find the different “combinations”, and the word “select” is a clear indicator that we need to apply the concept of combination to solve this question.

Thus, the different combination of CDs can be written as –
    \(= ^{12}C_1\) x \(^{10}C_1\) x \(^{15}C_1\) x \(^{15}C_1\)
    \(= 12\) x \(10\) x \(15\) x \(15\)
    \(= 120\) x \(225\)
    \(=27000\)

Therefore, the Correct Answer is Option E

Thanks,
Saquib
Quant Expert
e-GMAT

To practise ten 700+ Level Number Properties Questions attempt the The E-GMAT Number Properties Knockout



User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 27 Apr 2026
Posts: 11,229
Own Kudos:
45,026
 [3]
Given Kudos: 335
Status:Math and DI Expert
Location: India
Concentration: Human Resources, General Management
GMAT Focus 1: 735 Q90 V89 DI81
Products:
My Reviews
Expert
Expert reply
GMAT Focus 1: 735 Q90 V89 DI81
Posts: 11,229
Kudos: 45,026
 [3]
James is selecting CDs to take with him on his trip. James will selec 21 Dec 2016, 03:44
3
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
James is selecting CDs to take with him on his trip. James will select 1 jazz disc, 1 pop, 1 country and western and 1 blues. If he has 12 jazz, 10 pop and 15 each of country and western and blues, then how many possible different combinations of CDs could James take on his trip?

A. 52
B. 1,800
C. 6,750
D. 22,500
E. 27,000
Show more

Hi ,

The equation is something which we all will be able to get but effort would be in solving it at the earliest..
So 10 of one kind, 12 of another and 15 of two other kinds will give us 10*12*15*15 combinations..
What will be 10*12*15*15..
Should we get into multiplication or there is some way out..
Look at 0s you will have..

10 will give you one..
Each 15 will give you another 0, when multiplied by 2.. so another 2..
Total 0s .. 1+2=3..
Only E has 3 0s..
Ans E
User avatar
EgmatQuantExpert
User avatar
e-GMAT Representative
Joined: 04 Jan 2015
Last visit: 02 Apr 2024
Posts: 3,657
Own Kudos:
20,894
 [2]
Given Kudos: 165
Expert
Expert reply
Posts: 3,657
Kudos: 20,894
 [2]
James is selecting CDs to take with him on his trip. James will selec 21 Dec 2016, 04:25
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
chetan2u

Hi ,

The equation is something which we all will be able to get but effort would be in solving it at the earliest..
So 10 of one kind, 12 of another and 15 of two other kinds will give us 10*12*15*15 combinations..
What will be 10*12*15*15..
Should we get into multiplication or there is some way out..
Look at 0s you will have..

10 will give you one..
Each 15 will give you another 0, when multiplied by 2.. so another 2..
Total 0s .. 1+2=3..
Only E has 3 0s..
Ans E
Show more

Hey Chetan,

I agree with you. Instead of multiplying all the numbers, once should look for a simpler method to get the answer quickly.

Here is what I did -
    • After getting \(10 * 12 * 15 * 15\)
    • I wrote it as \(120 * 225\).
    • Now, if the multiplication would have been \(100 * 225\), we would have got \(22500\).
    • But then we have \(120\) instead of \(100\), therefore the answer has to be more than \(22500\) and there is only one option which is more than \(22500\),
    that is option E, thus I came to the conclusion that would be the answer :)


Thanks,
Saquib
Quant Expert
e-GMAT
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 27 Apr 2026
Posts: 22,286
Own Kudos:
26,539
 [1]
Given Kudos: 302
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: 22,286
Kudos: 26,539
 [1]
James is selecting CDs to take with him on his trip. James will selec 03 Jan 2017, 17:43
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
James is selecting CDs to take with him on his trip. James will select 1 jazz disc, 1 pop, 1 country and western and 1 blues. If he has 12 jazz, 10 pop and 15 each of country and western and blues, then how many possible different combinations of CDs could James take on his trip?

A. 52
B. 1,800
C. 6,750
D. 22,500
E. 27,000
Show more

We need to determine the number of ways to select 1 jazz CD from 12, 1 pop CD from 10, 1 country and western CD from 15, and 1 blues CD from 15.

Since we are selecting 1 of each, there are:

12C1 x 10C1 x 15C1 x 15C1 = 12 x 10 x 15 x 15 = 27,000 ways to select the CDs.

Answer: E
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,990
Own Kudos:
1,118
Posts: 38,990
Kudos: 1,118
James is selecting CDs to take with him on his trip. James will selec 19 Dec 2023, 23:59
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
109927 posts
Krunaal
Tuck School Moderator
852 posts