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what is the probability of dessert platters

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Manager
Joined: 23 Sep 2009
Posts: 154
Followers: 1

Kudos [?]: 29 [0], given: 37

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

50% (02:25) correct 50% (01:18) wrong based on 5 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
_________________

Thanks,
VP

Senior Manager
Joined: 31 Aug 2009
Posts: 421
Location: Sydney, Australia
Followers: 6

Kudos [?]: 142 [0], given: 20

Re: what is the probability of dessert platters [#permalink]  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
Senior Manager
Joined: 18 Aug 2009
Posts: 331
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Kudos [?]: 195 [0], given: 13

Re: what is the probability of dessert platters [#permalink]  27 Sep 2009, 20:42
$$2C1*6C1 + 2C2*6C2 = 27$$
Manager
Joined: 23 Sep 2009
Posts: 154
Followers: 1

Kudos [?]: 29 [0], given: 37

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

Thanks,
VP

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