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.
It appears that you are browsing the GMAT Club forum unregistered!
Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club
Registration gives you:
Tests
Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.
Applicant Stats
View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more
Books/Downloads
Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
A certain office supply store stocks 2 sizes of self-stick [#permalink]
17 Apr 2010, 09:05
1
This post received KUDOS
7
This post was BOOKMARKED
00:00
A
B
C
D
E
Difficulty:
25% (medium)
Question Stats:
71% (02:18) correct
29% (01:40) wrong based on 214 sessions
A certain office supply store stocks 2 sizes of self-stick notepads, each in 4 colors: Blue, Green, Yellow Or Pink. The store packs the notepads in pacakages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?
Re: colors and size of pads [#permalink]
17 Apr 2010, 09:26
4
This post received KUDOS
Expert's post
6
This post was BOOKMARKED
A certain office supply store stocks 2 sizes of self-stick notepads, each in 4 colors: Blue, Green, Yellow Or Pink. The store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?
A. 6 B. 8 C. 16 D. 24 E. 32
Notepads of the same color = 4 (we have 4 colors). As we have two sizes then total for the same color=4*2=8
Notepads of the different colors = 4C3=4 (we should choose 3 different colors out of 4). As we have two sizes then total for the different color=4*2=8
Re: colors and size of pads [#permalink]
22 Dec 2010, 07:20
4
This post received KUDOS
Expert's post
3
This post was BOOKMARKED
anilnandyala wrote:
bunuel can you make me more clear, how it is 4 books of same colour
thank u
Sure.
As the pads are packed in packages that contain only the notepads of same size then let's calculate for one size and then multiply it by 2 to get total.
There are 4 colors so there are 4 different packages possible with 3 same color notepads: all 3 Blue, all 3 Green, all 3 Yellow, or all 3 Purple;
For 3 different color pads: again as there are 4 colors then 4C3=4 is the # of ways to choose 3 different color pads to make a package: {BGY}, {BGP}, {BYP}, {GYP};
So for one size there are 4+4=8 packages possible thus for 2 sizes there are 8*2=16 packages possible.
Re: Permutations and combinations [#permalink]
08 Jan 2012, 14:33
You have 2 sizes and 4 colors (Call them A,B,C,D) to do this problem you should consider that for each size you can have 2 types of package call them type X and type y
Type X is of all the same color so for size 1 type X is
A B C D
Type Y is of all the different colors for size 1 type Y is all the ways you can have 3 of ABCD
You could say that you are choosing 3 of the 4 colors for each package therefore this is
4C3=4 or you could list them out working as if ABCD are in a circle and you want to list them moving only one letter into and out of your arrangement at a time.
ABC BCD CDA DAB so either way you see 4 ways for Type Y
Since you have 2 sizes and 8 ways to arrange each size you have a total of 16 packages.
Re: Permutations and combinations [#permalink]
08 Jan 2012, 19:24
Too big a question for too small an answer...
2 sizes of B, G, Y and P
1. Same size, same color = 1st size same color (4) and 2nd size same color (4) = 8 2. Same size, diff color = 1st size diff color 4!/3!1! = 4, same for second size = 8
Together = 16 _________________
I am the master of my fate. I am the captain of my soul. Please consider giving +1 Kudos if deserved!
DS - If negative answer only, still sufficient. No need to find exact solution. PS - Always look at the answers first CR - Read the question stem first, hunt for conclusion SC - Meaning first, Grammar second RC - Mentally connect paragraphs as you proceed. Short = 2min, Long = 3-4 min
Re: Permutations and combinations [#permalink]
09 Jan 2012, 18:29
6
This post received KUDOS
Kotela,
Sorry if I was not clear. I generally keep my answers short.
There are two ways this can happen.:
1. Same size same color: There are eight such combinations size 1 1-BBB 1-GGG 1-YYY 1-PPP size 2 2-BBB 2-GGG 2-YYY 2-PPP
total 8
2. Same size different color size 1 4C3 = 4 (BGY, BYP, GYP, BGP) size 2 4C3 = 4 (same as above) Total 8
Notice there there is an OR in the stem, so add 8 + 8 = 16
Hope this helps! _________________
I am the master of my fate. I am the captain of my soul. Please consider giving +1 Kudos if deserved!
DS - If negative answer only, still sufficient. No need to find exact solution. PS - Always look at the answers first CR - Read the question stem first, hunt for conclusion SC - Meaning first, Grammar second RC - Mentally connect paragraphs as you proceed. Short = 2min, Long = 3-4 min
Re: A certain office supply store stocks 2 sizes of self-stick [#permalink]
05 Dec 2013, 15:16
1
This post received KUDOS
Hello from the GMAT Club BumpBot!
Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________
Re: A certain office supply store stocks 2 sizes of self-stick [#permalink]
30 Dec 2013, 06:26
msand wrote:
A certain office supply store stocks 2 sizes of self-stick notepads, each in 4 colors: Blue, Green, Yellow Or Pink. The store packs the notepads in pacakages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?
A. 6 B. 8 C. 16 D. 24 E. 32
First scenario 2C1 * 4C3 = 8 Second scenario 2C1*4C1 = 8
Re: A certain office supply store stocks 2 sizes of self-stick [#permalink]
02 Jan 2015, 09:54
Hello from the GMAT Club BumpBot!
Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________
Re: A certain office supply store stocks 2 sizes of self-stick [#permalink]
09 Feb 2016, 04:17
Hello from the GMAT Club BumpBot!
Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________
Re: A certain office supply store stocks 2 sizes of self-stick [#permalink]
12 Feb 2016, 17:35
Expert's post
Hi All,
The question is essentially about the Combination Formula and following instructions. However, if you don't realize that, then you can always "brute force" the solution - you just have to draw it all out.
We're told that there are 2 sizes of notepads and 4 colors (Blue, Green, Yellow, Prink) of notepads. For organizational purposes, I'm going to refer to the 8 types of pads as:
B = Big blue pad b = Little blue pad G = Big green pad g = LIttle green pad Etc.
Now, we just need to figure out how many options fit each description:
1st: 3 notepads of the SAME SIZE and SAME COLOR….
BBB bbb GGG ggg YYY yyy PPP ppp
8 options
2nd: 3 notepads of the SAME SIZE and 3 DIFFERENT COLORS
The “3 golden nuggets” of MBA admission process With ten years of experience helping prospective students with MBA admissions and career progression, I will be writing this blog through...
You know what’s worse than getting a ding at one of your dreams schools . Yes its getting that horrid wait-listed email . This limbo is frustrating as hell . Somewhere...