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# Tough PS1

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Manager
Joined: 13 May 2009
Posts: 191
Schools: Stanford, Harvard, Berkeley, INSEAD

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03 Jun 2009, 16:04
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Ezekiel is brewing his magic potions, and needs to label his flasks. He can use either 1, 2 or 3 colours to uniquely identify his flasks, and different orderings of colour do not signify distinctiveness. If he has 800 flasks that he needs to uniquely label, what is the minimum number of colours Ezekiel will need to label his flasks?

(1) 3
(2) 7
(3) 11
(4) 17
(5) 800

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SVP
Joined: 29 Aug 2007
Posts: 2467
Re: Tough PS1 [#permalink]

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03 Jun 2009, 17:56
Ezekiel is brewing his magic potions, and needs to label his flasks. He can use either 1, 2 or 3 colours to uniquely identify his flasks, and different orderings of colour do not signify distinctiveness. If he has 800 flasks that he needs to uniquely label, what is the minimum number of colours Ezekiel will need to label his flasks?

(1) 3
(2) 7
(3) 11
(4) 17
(5) 800
Enjoy.

D. 17c1 + 17c2 + 17c3 = 17 + 136 + 680 = 833
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Senior Manager
Joined: 15 Jan 2008
Posts: 275
Re: Tough PS1 [#permalink]

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04 Jun 2009, 01:00
my approach..

with 11, the maximum he wud get is 11+55=165..

so the number has to be greater than 11 and hence the answer shud be 17..
Intern
Joined: 12 May 2009
Posts: 46
Location: Mumbai
Re: Tough PS1 [#permalink]

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04 Jun 2009, 03:49
IMO D; Same approach as GMAT Tiger!!
Senior Manager
Joined: 16 Jan 2009
Posts: 355
Concentration: Technology, Marketing
GMAT 1: 700 Q50 V34
GPA: 3
WE: Sales (Telecommunications)
Re: Tough PS1 [#permalink]

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04 Jun 2009, 11:46
17c1 + 17c2 + 17c3
=833
IMO D
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Lahoosaher

Re: Tough PS1   [#permalink] 04 Jun 2009, 11:46
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# Tough PS1

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