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For each meal, Jeffrey eats either toast, cereal, or pancakes. How many different ways can Jeffrey choose his meals for the day?

 May 11, 2019
 #1
avatar+23252 
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The question isn't sufficiently specific.

 

For instance, if there are only three meals and each of the three choices can be eaten only once per day, there are  3 x 2 x 1  =  6  ways.

 

However, if there are three meals and each food can be eaten more than once per day, there are  3 x 3 x 3  =  27 ways.

 

If there are more than three meals, then each food must be eaten more than once per day and there will be a different answer.

 May 11, 2019
 #2
avatar+220 
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1st day: 3 ways

2nd day: 3 ways

3rd day: 3 ways

 

3*3*3 = 27 ways in total.

 

~~Hypotenuisance

 May 14, 2019

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