Last visit was: 23 Apr 2026, 14:53 It is currently 23 Apr 2026, 14:53
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
User avatar
ruhi
User avatar
Joined: 19 Oct 2004
Last visit: 31 Jan 2010
Posts: 186
Own Kudos:
889
Location: Missouri, USA
Posts: 186
Kudos: 889
A mocktail has to be prepared from 3 kids of whiskies, 4 09 Nov 2004, 08:26
Kudos
Add Kudos
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
N
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

History

Date
Time
Result
Not Attempted Yet
A mocktail has to be prepared from 3 kids of whiskies, 4 kinds of soda and 5 kinds of fruit juices. How many mocktails can be made taking at least one of each kind?

A. 235
B. 325
C. 3255
D. 5235
E. 565

Is it too obvious or am I missing out something?? :cry: Please provide some explanation guys. Thanks



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
twixt
User avatar
Joined: 31 Aug 2004
Last visit: 03 Jul 2015
Posts: 283
Own Kudos:
404
Posts: 283
Kudos: 404
A mocktail has to be prepared from 3 kids of whiskies, 4 09 Nov 2004, 10:38
Kudos
Add Kudos
Bookmarks
Bookmark this Post
This one is a real nightmare because of "at least"...

I do not have any clue how to drill it except the 20 minutes / question method...

Will come back later
User avatar
mbahope
User avatar
Joined: 11 May 2004
Last visit: 07 Dec 2004
Posts: 47
Own Kudos:
2
Location: Michigan
Posts: 47
Kudos: 2
A mocktail has to be prepared from 3 kids of whiskies, 4 09 Nov 2004, 12:04
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I'd pcik C = 3255.
I solved it as follows:

(3C1 + 3C2+ 3C3) X (4C1+ 4C2+ 4C3+ 4C4) X (5C1+5C2+5C3+5C4+5C5)
= 3255
User avatar
ruhi
User avatar
Joined: 19 Oct 2004
Last visit: 31 Jan 2010
Posts: 186
Own Kudos:
889
Location: Missouri, USA
Posts: 186
Kudos: 889
A mocktail has to be prepared from 3 kids of whiskies, 4 09 Nov 2004, 13:36
Kudos
Add Kudos
Bookmarks
Bookmark this Post
mbahope, could u please explain why are you adding? I couldnt understand the steps. :oops:
User avatar
twixt
User avatar
Joined: 31 Aug 2004
Last visit: 03 Jul 2015
Posts: 283
Own Kudos:
404
Posts: 283
Kudos: 404
A mocktail has to be prepared from 3 kids of whiskies, 4 09 Nov 2004, 14:09
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Mbahope, you're right. That's the smartest way to combine all the possible sums. I was trying to assess sigma(i) iCj w/o any success...
User avatar
aspire2005
User avatar
Joined: 18 Sep 2004
Last visit: 23 Feb 2005
Posts: 43
Own Kudos:
1
Posts: 43
Kudos: 1
A mocktail has to be prepared from 3 kids of whiskies, 4 10 Nov 2004, 12:26
Kudos
Add Kudos
Bookmarks
Bookmark this Post
3255

Here is some explanation -

The key here is "atleast one from each". So,

For whiskies: number of ways of selecting 1 + number of ways of selecting 2 + number of ways of selecting 3 = 3C1 +3C2+3C3 = 7

For sodas: number of ways of selecting 1 + number of ways of selecting 2 + number of ways of selecting 3 + number of ways of selecting 4 = 4C1+4C2+4C3+4C4 = 15

For fruit juices: using same logic = 31

Now multiply all 3 to get the answer.


ANOTHER APPROACH:

FYI: "at least x" = All possibilities - [equal to (x-1)]
So whiskies = all selections - ways of selecting 0 number = 2^3-1 = 7
Sodas = 2^4 - 1 = 16-1=15
Fruit juice = 2^5 - 1 = 31

I hope it is clear.
User avatar
ruhi
User avatar
Joined: 19 Oct 2004
Last visit: 31 Jan 2010
Posts: 186
Own Kudos:
889
Location: Missouri, USA
Posts: 186
Kudos: 889
A mocktail has to be prepared from 3 kids of whiskies, 4 10 Nov 2004, 12:40
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Thanks aspire :-D got it now!
User avatar
Paul
User avatar
Joined: 15 Dec 2003
Last visit: 10 Nov 2012
Posts: 2,707
Own Kudos:
1,651
Posts: 2,707
Kudos: 1,651
A mocktail has to be prepared from 3 kids of whiskies, 4 10 Nov 2004, 18:32
Kudos
Add Kudos
Bookmarks
Bookmark this Post
:pray Aspire2005. Thank you very much for your explanation! I had no clue how to do this one 8-) Fantastic approach and thanks for the detailed explanation.
Guest
Joined: 31 Dec 1969
Last visit: -
Kudos: 0
A mocktail has to be prepared from 3 kids of whiskies, 4 17 Nov 2004, 00:59
Kudos
Add Kudos
Bookmarks
Bookmark this Post
aspire2005
3255

ANOTHER APPROACH:

FYI: "at least x" = All possibilities - [equal to (x-1)]
So whiskies = all selections - ways of selecting 0 number = 2^3-1 = 7
Sodas = 2^4 - 1 = 16-1=15
Fruit juice = 2^5 - 1 = 31
I hope it is clear.
Show more


A very interesting approach! I am not sure how we got to 2^3 (2^4...) and subtracting 1 from each without first doing it the mbahope way above?
User avatar
mbahope
User avatar
Joined: 11 May 2004
Last visit: 07 Dec 2004
Posts: 47
Own Kudos:
2
Location: Michigan
Posts: 47
Kudos: 2
A mocktail has to be prepared from 3 kids of whiskies, 4 17 Nov 2004, 13:43
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Thanks aspire.
I have hard time explaining some things i do in words.
I guess thats something i really need to work on.
I've started trying to do that now.
But i'm glad i dont have to do it for this question now ;)
User avatar
vprabhala
User avatar
Joined: 21 Sep 2004
Last visit: 10 Aug 2005
Posts: 223
Own Kudos:
162
Posts: 223
Kudos: 162
A mocktail has to be prepared from 3 kids of whiskies, 4 07 Jan 2005, 14:35
Kudos
Add Kudos
Bookmarks
Bookmark this Post
thanks aspire. thats a very good picture of how to go about such problems..



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
Moderator:
Bunuel
Math Expert
109785 posts