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Alfred, ever hungry, decides to order (Combinatronics)

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Alfred, ever hungry, decides to order (Combinatronics) [#permalink] New post 13 Oct 2011, 13:41
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Alfred, ever hungry, decides to order 4 desserts after his meal. If there are 7 types of pie, and 8 types of ice cream from which to choose, and Alfred will have at most two types of ice cream, hoy many distinct groups of desserts could he consume in his post-prandial frenzy?

A 588
B 868
C 903
D 1806
E 2010
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Re: Alfred, ever hungry, decides to order (Combinatronics) [#permalink] New post 13 Oct 2011, 15:03
Bull78 wrote:
Alfred, ever hungry, decides to order 4 desserts after his meal. If there are 7 types of pie, and 8 types of ice cream from which to choose, and Alfred will have at most two types of ice cream, hoy many distinct groups of desserts could he consume in his post-prandial frenzy?

A 588
B 868
C 903
D 1806
E 2010


0 Ice AND 4 Pie
OR
1 Ice AND 3 Pie
OR
2 Ice AND 2 Pie

C^8_0*C^7_4+C^8_1*C^7_3+C^8_2*C^7_2=903

Ans: "C"
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Re: Alfred, ever hungry, decides to order (Combinatronics)   [#permalink] 13 Oct 2011, 15:03
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Alfred, ever hungry, decides to order (Combinatronics)

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