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

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Manager
Joined: 21 Dec 2005
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A certain office supply store stocks 2 sizes of self-stick [#permalink]  04 Apr 2006, 01:43
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?

Thanks
VP
Joined: 29 Apr 2003
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The Total types wud be

Small Size: - each carrying the same color (blue, green, yellow, or pink) = 4
Large Size: - Each carrying the same color (blue, green, yellow, or pink) = 4

small Size different colors = 4C3 (as order is not important) = 4
Large Size different colors = 4C3 (as order is not important) = 4

Total = 4 + 4 + 4 +4 =16
Senior Manager
Joined: 22 Jun 2005
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Re: Combination [#permalink]  04 Apr 2006, 02:14
jodeci wrote:
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?

Thanks

same colour: 4
different colours: we can choose 3 out of 4 in 4c3=4 ways.

So, 4*4=16
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assume the two sizes are 1 and 2

So we have: B1,G1,Y1,P1 and B2,G2,Y2,P2

Same COlor, Same Size:

8 possibilites --> B1B1B1, B2B2B2, G1G1G1, G2G2G2.... etc

Same size, different color:

4C3 * 2 = 8 possibilites.

Total = 16
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