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

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A certain office supply store stocks 2sizes of self-stick [#permalink] New post 07 Apr 2009, 04:45
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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

pl show your steps.. thanks.
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Re: P&C: prep [#permalink] New post 08 Apr 2009, 09:09
Is 16 the answer ?

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

-pradeep
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Re: P&C: prep [#permalink] New post 08 Apr 2009, 10:32
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?
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Re: P&C: prep [#permalink] New post 08 Apr 2009, 18:38
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..
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Re: P&C: prep [#permalink] New post 08 Apr 2009, 22:30
thanks everybody..OA is 16.
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Re: P&C: prep [#permalink] New post 13 Apr 2009, 18:55
I also got 16 8-)
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Re: P&C: prep [#permalink] New post 19 Apr 2009, 23:01
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.

Please confirm and edit your post.
Re: P&C: prep   [#permalink] 19 Apr 2009, 23:01
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