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what is the probability of dessert platters

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Manager
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Joined: 23 Sep 2009
Posts: 154
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Kudos [?]: 13 [0], given: 37

what is the probability of dessert platters [#permalink] New post 27 Sep 2009, 17:38
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D
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Question Stats:

50% (02:25) correct 50% (01:18) wrong based on 4 sessions
Hi folks,
Can sum1 explain me how is 27 the correct answer?

A certain restaurant offers 6 kinds of cheese, 2 kinds of fruits for it sdessert platter. If each dessert platter contains equial number of kinds of cheese and kinds of fruit, how many dessert platters can the restaurant offer?
a) 8
b) 12
c) 15
d) 21
e) 27
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VP

Senior Manager
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Joined: 31 Aug 2009
Posts: 422
Location: Sydney, Australia
Followers: 6

Kudos [?]: 106 [0], given: 20

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Re: what is the probability of dessert platters [#permalink] New post 27 Sep 2009, 20:37
1 cheese + 1 fruit = 6 x 2 options = 12
2 cheese + 2 fruit = 6C2 x 2C2 = 6C2 x 1 = 6!/2!4! = 6x5/2 = 15

Total = 27 options
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Re: what is the probability of dessert platters [#permalink] New post 27 Sep 2009, 20:42
2C1*6C1 + 2C2*6C2 = 27
Manager
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Kudos [?]: 13 [0], given: 37

Re: what is the probability of dessert platters [#permalink] New post 27 Sep 2009, 20:46
Many Thanks guyz.......
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VP

Re: what is the probability of dessert platters   [#permalink] 27 Sep 2009, 20:46
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