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Counting Methods - GMATPrep

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Intern
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Joined: 01 Aug 2007
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Counting Methods - GMATPrep [#permalink] New post 31 Aug 2007, 09:23
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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, 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
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 [#permalink] New post 31 Aug 2007, 11:12
size types = 1,2

colors = b,g,y,p

same size same colors (i.e type 1 color blue)

2*4 = 8

and

same size different colors =

2*C(3,4 --> choosing three different colors out of four) = 2*4 = 8

total

8+8 = 16

so the answer is (C)
  [#permalink] 31 Aug 2007, 11:12
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