GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 21 Oct 2019, 03:40

### 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

# Boone is making a playlist of 5 songs, but only 2 are suitable to be l

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58421
Boone is making a playlist of 5 songs, but only 2 are suitable to be l  [#permalink]

### Show Tags

27 Feb 2019, 04:47
00:00

Difficulty:

35% (medium)

Question Stats:

62% (01:34) correct 38% (01:31) wrong based on 34 sessions

### HideShow timer Statistics

Boone is making a playlist of 5 songs, but only 2 are suitable to be last. How many different playlists could Boone make?

A. 24
B. 48
C. 60
D. 120
E. 3,125

_________________
RC Moderator
Joined: 24 Aug 2016
Posts: 789
GMAT 1: 540 Q49 V16
GMAT 2: 680 Q49 V33
Re: Boone is making a playlist of 5 songs, but only 2 are suitable to be l  [#permalink]

### Show Tags

27 Feb 2019, 05:08
Last place can be selected in 2 ways.
now the other 4 can be selected in 4! ways.
Total possible ways = 4!*2=48
Ans B
_________________
Please let me know if I am going in wrong direction.
Thanks in appreciation.
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5026
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Boone is making a playlist of 5 songs, but only 2 are suitable to be l  [#permalink]

### Show Tags

Updated on: 27 Feb 2019, 09:34
1
Bunuel wrote:
Boone is making a playlist of 5 songs, but only 2 are suitable to be last. How many different playlists could Boone make?

A. 24
B. 48
C. 60
D. 120
E. 3,125

total songs a,b,c,d,e
let d,e be last song so our songs a,b,c,x ; x; d&e
so no ways we can make a playlist 4! ways ; 24
and last two songs can be arranged in 2 ways so 24*2;48
IMO B

Originally posted by Archit3110 on 27 Feb 2019, 05:28.
Last edited by Archit3110 on 27 Feb 2019, 09:34, edited 1 time in total.
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5026
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Boone is making a playlist of 5 songs, but only 2 are suitable to be l  [#permalink]

### Show Tags

27 Feb 2019, 05:29
u1983 wrote:
Last place can be selected in 2 ways.
now the other 4 can be selected in 4! ways.
Total possible ways = 4!*2=48
Ans B

u1983
wanted to understand why you have multiplied by 2 ; the question has specified that 2 songs have to be in last so wont we get the sequence in 4! ways?
Manager
Joined: 17 May 2018
Posts: 140
Location: India
Re: Boone is making a playlist of 5 songs, but only 2 are suitable to be l  [#permalink]

### Show Tags

27 Feb 2019, 05:49
u1983 the idea is to choose the last song first so we would have 2 choices and the 1st to 4th songs would have choice 4,3,2,1. Hence the calculation 4!*2

Posted from my mobile device
RC Moderator
Joined: 24 Aug 2016
Posts: 789
GMAT 1: 540 Q49 V16
GMAT 2: 680 Q49 V33
Re: Boone is making a playlist of 5 songs, but only 2 are suitable to be l  [#permalink]

### Show Tags

27 Feb 2019, 06:53
Archit3110 wrote:
u1983 wrote:
Last place can be selected in 2 ways.
now the other 4 can be selected in 4! ways.
Total possible ways = 4!*2=48
Ans B

u1983
wanted to understand why you have multiplied by 2 ; the question has specified that 2 songs have to be in last so wont we get the sequence in 4! ways?

Hello Archit3110 ..... below is my take.

The Q says : Boone is making a playlist of 5 songs, but only 2 are suitable to be last.

So the last spot can be taken by any of those 2 songs. This implies the last position can be taken up in 2 ways.
Once the last place is defined/selected, we remain with 4 places and 4 songs.
Now those 4 songs can be arranged in 4 places in 4! ways (as order does matter here ).
Hence the total ways = 4!*2=48

Hope this helps!!
_________________
Please let me know if I am going in wrong direction.
Thanks in appreciation.
RC Moderator
Joined: 24 Aug 2016
Posts: 789
GMAT 1: 540 Q49 V16
GMAT 2: 680 Q49 V33
Re: Boone is making a playlist of 5 songs, but only 2 are suitable to be l  [#permalink]

### Show Tags

27 Feb 2019, 06:54
sumi747 wrote:
u1983 the idea is to choose the last song first so we would have 2 choices and the 1st to 4th songs would have choice 4,3,2,1. Hence the calculation 4!*2

Posted from my mobile device

Hello sumi747 ... really could not understand your post ...... was it an explanation or query for me ?? .....
_________________
Please let me know if I am going in wrong direction.
Thanks in appreciation.
Re: Boone is making a playlist of 5 songs, but only 2 are suitable to be l   [#permalink] 27 Feb 2019, 06:54
Display posts from previous: Sort by