Last visit was: 06 May 2026, 00:07 It is currently 06 May 2026, 00:07
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
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 05 May 2026
Posts: 110,105
Own Kudos:
813,177
 [4]
Given Kudos: 106,051
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 110,105
Kudos: 813,177
 [4]
Kudos
Add Kudos
4
Bookmarks
Bookmark this Post
User avatar
m1033512
Joined: 25 Feb 2019
Last visit: 27 Oct 2019
Posts: 276
Own Kudos:
Given Kudos: 32
Products:
Posts: 276
Kudos: 237
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
sumi747
Joined: 17 May 2018
Last visit: 19 Dec 2022
Posts: 120
Own Kudos:
Given Kudos: 82
Location: India
Posts: 120
Kudos: 52
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 05 May 2026
Posts: 8,639
Own Kudos:
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GMAT Focus 2: 645 Q83 V82 DI81
GPA: 4
WE:Marketing (Energy)
Products:
GMAT Focus 2: 645 Q83 V82 DI81
Posts: 8,639
Kudos: 5,193
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
Kyle is making a CD containing 10 of his favorite songs. He has chosen two blues songs and 8 rock-n-roll songs to be on the CD. The blues songs will be the first and last songs. How many different orderings of songs on the CD are possible?

A. 3,628,800
B. 161,280
C. 80,640
D. 20,160
E. 160

CD can be made in 8! * 2 ways
IMO C 80640
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 05 May 2026
Posts: 22,319
Own Kudos:
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: 22,319
Kudos: 26,569
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
Kyle is making a CD containing 10 of his favorite songs. He has chosen two blues songs and 8 rock-n-roll songs to be on the CD. The blues songs will be the first and last songs. How many different orderings of songs on the CD are possible?

A. 3,628,800
B. 161,280
C. 80,640
D. 20,160
E. 160

Solution:

There are 2! ways to put the 2 blues songs at either end of the list and there are 8! ways to put the 8 rock-n-roll songs in between the 2 blues songs. Therefore, there are 2! x 8! = 80,640 different orderings of songs on the CD.

Answer: C
User avatar
MathRevolution
User avatar
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Last visit: 27 Sep 2022
Posts: 10,063
Own Kudos:
Given Kudos: 4
GMAT 1: 760 Q51 V42
GPA: 3.82
Expert
Expert reply
GMAT 1: 760 Q51 V42
Posts: 10,063
Kudos: 20,045
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Blue songs at the first and last position can be arranged in 2! ways = 2 ways.

Remaining 8 rock-n-roll songs can be arranged (between the blue songs) in 8 ! ways = 40,320

Total ways to order 10 songs = 2*40,320 = 80,640

Answer C
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 39,017
Own Kudos:
Posts: 39,017
Kudos: 1,123
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:
Math Expert
110105 posts
Tuck School Moderator
852 posts