SOLUTION: A Petro is made up of Chili, Corn Chips, Tomatoes, Green Onions, Sour Cream, Jalapenos and Black Olives. there are two types of Chili available (original and vegegarian) You c

Algebra ->  Permutations -> SOLUTION: A Petro is made up of Chili, Corn Chips, Tomatoes, Green Onions, Sour Cream, Jalapenos and Black Olives. there are two types of Chili available (original and vegegarian) You c      Log On


   



Question 346641: A Petro is made up of Chili, Corn Chips, Tomatoes, Green Onions, Sour Cream, Jalapenos and Black Olives.
there are two types of Chili available (original and vegegarian)
You can substitute pasta for the corn chips.
You can substitute fat free cheese and fat free sour cream for the cheese and sour cream.
how many different ways can you order a Petro?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A couple of things.
1.Do I have to order every option to be considered a Petro?
Example: Everything but black olives, is it a still a Petro?
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2. Cheese was not provided on the original ingredient list.
Should it have been?
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Here's the formula,
N=A%2AB%2AC%2AD%2AE%2AF%2AG
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A:Chili choices,2
B: Pasta or corn chips,2
C:Tomatoes, 1
D:Onions, 1
E:Sour Cream or Fat Free Sour Cream ,2
F:Jalapenos,1
G:Olives,1
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If no olives is allowed, every choice gets bumped up by 1.
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If you had to choose each option and Cheese isn't an option, then
N=2%2A2%2A1%2A1%2A2%2A1%2A1=8 possible Petro combinations.
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If you can choose no olives or any other ingredient and Cheese is added.
N=3%2A3%2A2%2A2%2A3%2A2%2A2%2A2=3%5E3%2A2%5E5=2592 possible Petro combinations.