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# A certain office supply store stocks 2sizes of self-stick

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Intern
Joined: 27 Mar 2009
Posts: 12
A certain office supply store stocks 2sizes of self-stick [#permalink]

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07 Apr 2009, 05:45
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A certain office supply store stocks 2sizes 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 same size and the same color or 3 notepads of 3 diffrent colors. If the order in which colors is not considered, how many different packages of the types described above are possible. ?

6 8 16 24 32

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Senior Manager
Joined: 01 Mar 2009
Posts: 361
Location: PDX

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08 Apr 2009, 10:09

3 Notepads of same size and same color can be chosen in 3c2 *4c3 ways

3 Notepads of different colors can be chosen in 4c3 ways

Together we have 3c2*4c3 + 4c3 = 16

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In the land of the night, the chariot of the sun is drawn by the grateful dead

Intern
Joined: 19 Oct 2008
Posts: 20

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08 Apr 2009, 11:32
Notebooks are of two sizes , lets they be represented by s1,s2

We know s1 and s2 are available in 4 different colors (B,G,Y,P)

3 notepads of size s1 = 4 = {(B1,B1,B1),(G1,G1,G1),(Y1,Y1,Y1),(P1,P1,P1)}

3 notepads of size s2 = 4= {(B2,B2,B2),(G2,G2,G2),(Y2,Y2,Y2),(P2,P2,P2)}

3 notepads of 3 diffrent colors= 3 different colored notepads for s1 + 3 different colored notepads for s2
=4c3+4c3= 8

=>4+4+8=16

btw whats the OA?
Intern
Joined: 01 Apr 2009
Posts: 2

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08 Apr 2009, 19:38
Should it be considered for case of 3 different notepads more as below?
If size and colors are categorized as below.
S1 : b / g / y / p
S2 : B / G / Y / P
In addition to case of 3 different colors in one size, I think that mixed groups should be considered like..

Bgy / Bgp / Byp / Gby / Gbp / Gyp / Y-- / Y -- / Y-- / P-- / P-- / P--
total 12 cases

BGy / BGp / BYg / BYp / BPg / BPy / GYb / GYp / GPb / GPy / YPb / YPg
total 12 cases

So there will be 24 cases more plus what you considered with 16 cases.
But, I'm not sure too. Becuase 40 cases cannot be founded in answer options.

OA ? pelase..
Intern
Joined: 27 Mar 2009
Posts: 12

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08 Apr 2009, 23:30
thanks everybody..OA is 16.
Current Student
Joined: 13 Jan 2009
Posts: 351
Location: India

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13 Apr 2009, 19:55
I also got 16
Manager
Joined: 02 Mar 2009
Posts: 129

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20 Apr 2009, 00:01
Zaz can you please check the question..I remember doing this question and I think the question is supposed to say '..store packs the notepads in packages that contain either 3 notepads of same size and the same color or 3 notepads of 3 diffrent colors [color=#0000FF]& same size[/color]' I think you forgot the same size bit. I am sure the combinations are much more than 16 if you can pack the different colours and different sizes into 1.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Re: P&C: prep   [#permalink] 20 Apr 2009, 00:01
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