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.

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:

In this video, Veritas Prep instructor Hailey Cusimano addresses how inventorying what we know can allow us to move more efficiently through GMAT Quant

Only 2000 test-takers score 760 or higher annually. These students not only secure admissions at top B-schools, but they also get an estimated $100M in scholarships. Find out more...

To score Q50 on GMAT Quant, you would need a strategic plan of action which takes your strengths and weaknesses into consideration. Attend this free workshop to attempt a supervised quant quiz and gain insights that can help you save 35+ hours...

A certain office supply store stocks 2 sizes of self-stick notepads
[#permalink]

Show Tags

17 Apr 2010, 09:05

6

110

00:00

A

B

C

D

E

Difficulty:

45% (medium)

Question Stats:

69% (02:13) correct 31% (02:14) wrong based on 235 sessions

HideShow timer Statistics

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: A certain office supply store stocks 2 sizes of self-stick notepads
[#permalink]

Show Tags

17 Apr 2010, 09:26

15

38

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: A certain office supply store stocks 2 sizes of self-stick notepads
[#permalink]

Show Tags

22 Dec 2010, 07:20

14

5

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: A certain office supply store stocks 2 sizes of self-stick notepads
[#permalink]

Show Tags

30 Dec 2013, 06:26

2

1

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 notepads
[#permalink]

Show Tags

12 Feb 2016, 17:35

1

1

1

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

Re: A certain office supply store stocks 2 sizes of self-stick notepads
[#permalink]

Show Tags

09 Apr 2016, 13:10

1

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

we have 2 types of notebooks. we can select either 3 colors or 1 color to select 3 colors: 4C3 = 4 to select 1 color: 4C1 = 4 so for each type of notebook, we have 8 possible arrangements 8x2 = 16

Re: A certain office supply store stocks 2 sizes of self-stick notepads
[#permalink]

Show Tags

20 May 2017, 18:56

3

Top Contributor

2

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

1. Ordering is not important, so this is a combination problem 2. Is there a constraint? There are two cases each with a constraint 3. In the first case ,Constraint is 3 notebooks of the same color . So there are 2 ways of selecting a size and 4C1 ways of selecting a color. So a total of 2*4= 8 ways 4. In the second case, constraint is 3 notebooks of the same size but 3 different colors. There are 2 ways of selecting a size and 4C3 ways of selecting colors, for a total of 2*4=8 ways 5. Total number of combinations is (3) + (4) = 16
_________________

Re: A certain office supply store stocks 2 sizes of self-stick notepads
[#permalink]

Show Tags

19 Apr 2018, 17:03

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

Let’s say the 2 sizes of notepads are small and large. Then, for the small notepads, there are 4 packages of notepads of all the same color (one package for each color) and 4C3 = 4 packages of notepads of three different colors. Thus, for the small notepads, there are a total of 4 + 4 = 8 different packages. Similarly, there are 8 different packages for the large notepads. Thus, there are a total of 8 + 8 = 16 different packages for the 2 sizes of notepads.

Re: A certain office supply store stocks 2 sizes of self-stick notepads
[#permalink]

Show Tags

02 Jun 2018, 16:53

Bunuel wrote:

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.

Answer: C.

Hope it's clear.

Hi Bunuel,

Sorry but I don't follow this..

When there are 4 colors and 2 sizes there are total of only 8 notepads..how can we have 3 blue. 3 green 3 yellow and 3 purple

Re: A certain office supply store stocks 2 sizes of self-stick notepads
[#permalink]

Show Tags

03 Jun 2018, 03:58

zanaik89 wrote:

Bunuel wrote:

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.

Answer: C.

Hope it's clear.

Hi Bunuel,

Sorry but I don't follow this..

When there are 4 colors and 2 sizes there are total of only 8 notepads..how can we have 3 blue. 3 green 3 yellow and 3 purple

Pls explain..what am I missing here?

Thanks In advance

Regards

A certain office supply store stocks 2 sizes of self-stick notepads, each in 4 colors: Blue, Green, Yellow Or Pink. So, we have:

Large size notepads: 4 BLUE 4 GREEN 4 YELLOW 4 PINK

Small size notepads 4 blue 4 green 4 yellow 4 pink
_________________

Re: A certain office supply store stocks 2 sizes of self-stick notepads
[#permalink]

Show Tags

27 Aug 2018, 10:18

Hi andresan,

Even if there were 5 colors (instead of 4), the approaches would not change - you can either use the Combination formula or 'brute force' the list of options. Have you attempted either approach (and what answer did you get?)?

Re: A certain office supply store stocks 2 sizes of self-stick notepads
[#permalink]

Show Tags

29 Sep 2019, 13:06

Hi ishaan100,

The numbers "4" and "3" have specific meanings in the context of this question - and do NOT refer to the total number of notepads in the store.

1) There are 4 different colors of pad: Blue, Green, Yellow and Pink - and each color appears in 2 different sizes. 2) Each package contains 3 types of pads: either all the same size & color OR the same size & 3 different colors.

Most of the posts in this thread define how there are 16 POSSIBLE packages of notepads - but again, that has nothing to do with the actual number of notepads in the store.

I am just starting on P&C so I too struggle with it. Therefore, I want to ask something about this question. I have gone through all the solutions provided on this thread but I am not being able to clear my head about something. How did we take into account that fact that we have to make 3 notepads.

We have to make either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors right? 3 notepads of the same size and the same color + 3 notepads of the same size and of 3 different colors right Choose 1 size out of 2 and Choose 1 color out of 4 + Choose 1 size out of 2 and Choose 1 color out of 4 2C1 * 4C1 + 2C1 * 4C3 = 16 I understood this but how did me make 3 notepads though ?

Thank you, Dablu

Originally posted by gurudabl on 08 Mar 2020, 21:43.
Last edited by gurudabl on 15 May 2020, 22:17, edited 2 times in total.

Re: A certain office supply store stocks 2 sizes of self-stick notepads
[#permalink]

Show Tags

15 May 2020, 06:55

1

Top Contributor

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

There are two different cases to consider: 1) All 3 pads the same color 2) The 3 pads are 3 different colors

Case 1: All 3 pads the same color Take the task of packaging pads and break it into stages.

Stage 1: Select a size There are 2 possible sizes, so we can complete stage 1 in 2 ways.

Stage 2: Select 1 color (to be applied to all 3 pads) There are 4 possible colors from which to choose, so we can complete stage 2 in 4 ways.

By the Fundamental Counting Principle (FCP) we can complete the two stages in (2)(4) ways (= 8 ways)

Case 2: The 3 pads are 3 different colors Take the task of packaging pads and break it into stages.

Stage 1: Select a size There are 2 possible sizes, so we can complete stage 1 in 2 ways.

Stage 2: Select 3 different colors There are 4 possible colors, and we must choose 3 of them. Since the order of the selected colors does not matter, we can use combinations. We can select 3 colors from 4 colors in 4C3 ways (4 ways), so we can complete stage 2 in 4 ways.

By the Fundamental Counting Principle (FCP) we can complete the two stages in (2)(4) ways (= 8 ways)

So, both cases can be completed in a total of 8 + 8 ways = 16

Answer: C

Note: the FCP can be used to solve the MAJORITY of counting questions on the GMAT. So, be sure to learn it.