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Probability

by jcnissi » Mon Jun 14, 2010 1:05 pm
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. 9600
b. 4800
c. 2400
d. 800
e. 400
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by indiantiger » Mon Jun 14, 2010 4:16 pm
total number of ice cream sundaes that can created =

12 * 10 * 8 * 5 * 2 = 9600 (A) answer

12 as their are 12 different flavors
10 as their are 10 kinds of candies
8 as their are liquid toppings
5 as their are kinds of nuts
2 for the choice of with or w/o whipped cream
"Single Malt is better than Blended"
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by Rich@VeritasPrep » Mon Jun 14, 2010 4:17 pm
Hey,

All you need to do is multiply each number of possibilities.

For each of the 12 ice cream flavors, there are 10 kinds of candies, which leads to a total of 120 combinations of ice cream and candy.

And for each of those 120 combinations, there are 8 possibilities of liquid toppings. 120*8 combinations. Etc, etc.

So the solution is just 12*10*8*5*2.

Make sense?
Rich Zwelling
GMAT Instructor, Veritas Prep
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