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probability from Gmat prep

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probability from Gmat prep [#permalink] New post 21 Sep 2009, 11:04
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A
B
C
D
E

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A certain office supply store stocks 2 sizes of self-stick notepads, each in 4 colors: blue, green, yellow, and 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 color. If the order in which the colors are packed is not considered, how many differecnt packages of the types described above are possible?

A) 6
B) 8
C) 16
D) 24
E) 32

OA is C

can someone explain why it is so?

Thanks.
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Re: probability from Gmat prep [#permalink] New post 21 Sep 2009, 11:35
let's say the sizes are medium (M) and small (S)
we have blue-medium (Bm), Blue-small (Bs), Gm, Gs, Ym, Ys, Pm, Ps.
if we consider the packages that consists of 3 notepads of the same size and same color, we have 8 possible packages. (1 pack of Bm, 1 of Ym, 1 of Bs etc...)

If we consider the packages that consists of same size and different color, we have to choose 3 out of four (Bm, Ym, Gm, Pm) that is 4 possibilities and the choose 3 out of four (Bs, Ys, Gs Ps) 4 possibilities again.

So the number of packages is 8+4+4=16

Ans C
Re: probability from Gmat prep   [#permalink] 21 Sep 2009, 11:35
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