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

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Manager
Joined: 31 Jul 2006
Posts: 237
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Kudos [?]: 38 [0], given: 0

A certain office supply store stocks 2 sizes of self stick [#permalink]  13 Oct 2008, 18:19
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 same color or 3 notepads of the same size and of 3 diff colors. If the order in
which te 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
Manager
Joined: 09 Oct 2008
Posts: 93
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Re: office supply [#permalink]  13 Oct 2008, 18:25
i am little confused..

how many number of notepad are there?
Manager
Joined: 31 Jul 2006
Posts: 237
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Re: office supply [#permalink]  13 Oct 2008, 18:33
I'm confused too. answer is 16 btw, maybe we can figure out from there?
Manager
Joined: 08 Aug 2008
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Re: office supply [#permalink]  14 Oct 2008, 03:48
1st case:- balls of same color BBB GGG YYY PPP
there are 4 ways of doing the same.

2nd case:- 3 balls of 3 different colors can be selected from 4 colors in 4*3*2=24 ways.
since the ordering of color is not important, hence
no of ways= 24/3!=4.
total no of ways= 12+4=16.

Please comment.
Manager
Joined: 08 Aug 2008
Posts: 234
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Kudos [?]: 22 [0], given: 0

Re: office supply [#permalink]  16 Oct 2008, 09:15
sorry bout that...
seeing the answer made me write it 12 i guess..
Re: office supply   [#permalink] 16 Oct 2008, 09:15
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# A certain office supply store stocks 2 sizes of self stick

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