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# CREATE YOUR OWN SUNDAE 12 Ice Cream Flavors 10 Kinds of

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Director
Joined: 06 Feb 2006
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CREATE YOUR OWN SUNDAE 12 Ice Cream Flavors 10 Kinds of [#permalink]

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27 Oct 2006, 10:12
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12 Ice Cream Flavors
10 Kinds of Candies
8 Liquid Toppings
5 Kinds of Nuts
With or Without Whipped Cream

If a customer makes exactly one selection from each of the five categories shown in the table above, what is the greatest possible number of different ice cream sundaes that a customer can create?

(A) 9,600
(B) 4,800
(C) 2,400
(D) 800
(E) 400
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Joined: 01 Jun 2006
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27 Oct 2006, 11:56
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KUDOS
Quote:
12 Ice Cream Flavors
10 Kinds of Candies
8 Liquid Toppings
5 Kinds of Nuts
With or Without Whipped Cream

If a customer makes exactly one selection from each of the five categories shown in the table above, what is the greatest possible number of different ice cream sundaes that a customer can create?

(A) 9,600
(B) 4,800
(C) 2,400
(D) 800
(E) 400

Ans: so we have 12C1 choices for Ice Cream flavors, 10C1 for Candies, 8C1 for Toppings and 5C1 for Nuts...that makes 12*10*8*5 = 4800 combinations...now we can either have them with toppings or without them so 4800*2 = 9600 for different ice cream sundae.

wats OA?
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