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# Chef Gundy is creating a new dessert that will be made from

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VP
Joined: 13 Jun 2004
Posts: 1122
Location: London, UK
Schools: Tuck'08
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Chef Gundy is creating a new dessert that will be made from [#permalink]  05 Sep 2004, 16:20
Chef Gundy is creating a new dessert that
will be made from 3 ingredients. If he has 8
cookies and one flavor of sorbet to choose from,
what fraction of the possible arrangements will
contain the sorbet?

(A) 1/84
(B) 1/56
(C) 1/9
(D) 1/3
(E) 2/3
Intern
Joined: 10 Aug 2004
Posts: 40
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Kudos [?]: 1 [0], given: 0

not sure. There are 84 total combinations 9C3 and if we have 2 flavors of sorbet we have 8C2 which is 28. Therefore I am guessing it is 1/84. Not sure how to explain though.
Intern
Joined: 10 Aug 2004
Posts: 40
Followers: 0

Kudos [?]: 1 [0], given: 0

not sure. There are 84 total combinations 9C3 and if we have 2 flavors of sorbet we have 8C2 which is 28. Therefore I am guessing it is 1/84. Not sure how to explain though.
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5078
Location: Singapore
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Kudos [?]: 184 [0], given: 0

The 3 ingredient can either be coming all from 3 of the 8 cookies, which gives 8C3 = 56 combinations
Or 2 cookies + 1 sorbet = 8C2=28 combinations. We don't need to consider the sorbet since there's only 1 to pick from.

So total combinations = 56+28 = 84
Fraction of arrangements containing sorbet = 28/84=1/3

Intern
Joined: 10 Aug 2004
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Thanks Wilfred. I got close once again but I continue to make stupid mistakes. I still have a month to go before the test. hopefully I can eliminate the errors.
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Joined: 15 Dec 2003
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_________________

Best Regards,

Paul

VP
Joined: 13 Jun 2004
Posts: 1122
Location: London, UK
Schools: Tuck'08
Followers: 7

Kudos [?]: 31 [0], given: 0

I confirm OA is D, good job
Manager
Joined: 28 Jul 2004
Posts: 54
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Kudos [?]: 0 [0], given: 0

the probability of not getting sorbet is

8/9 *7/8 *6/7 = 2/3

therefore probability of getting it is 1- 2/3 = 1/3

cheers
_________________

Jim

Director
Joined: 08 Jul 2004
Posts: 604
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do it like this:
8C2x1/9c2
=1/3
S
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