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

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VP
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Chef Gundy is creating a new dessert that will be made from [#permalink] New post 05 Sep 2004, 16:20
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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
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 [#permalink] New post 05 Sep 2004, 16:53
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.
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 [#permalink] New post 05 Sep 2004, 16:55
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.
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 [#permalink] New post 05 Sep 2004, 18:07
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

(D) is the answer.
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 [#permalink] New post 05 Sep 2004, 18:52
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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 [#permalink] New post 05 Sep 2004, 19:07
Nice ywilfred. I concur with your answer.
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Paul

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 [#permalink] New post 05 Sep 2004, 19:59
I confirm OA is D, good job
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 [#permalink] New post 06 Sep 2004, 01:00
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
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Jim

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 [#permalink] New post 06 Sep 2004, 01:08
do it like this:
8C2x1/9c2
=1/3
S
  [#permalink] 06 Sep 2004, 01:08
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Chef Gundy is creating a new dessert that will be made from

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