Question 246260: A yogurt shop offers 3 different kinds of yogurt and 13 different kinds of toppings.
a. How many different yogurt and topping combination's are possible?
13C3 (where the 13, and 3 are small for combination permutations)
I came up with 286. I'm not sure if I put the 13 and 3 in the correct spot?
b. The weekly special is a yogurt with up to 3 toppings for $.99. How many different yogurt and topping combination's are available for the weekly special?
Thanks for all of your help.
~Marney
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! In the first part of this problem, you are NOT doing a combination! It does NOT say that you have 13 toppings and you are CHOOSING any 3 of them. That was the second part of your question.
In the first part, you are choosing 1 yogurt out of 3 yogurt, and you are choosing 1 topping out of 13 toppings. This would be 3*13= 39 possible combinations.
In the second question, you are choosing 1 yogurt out of 3 possibilities, and then you are choosing 3 toppings out of 13 possible toppings. This is your combination problem, but it is also a product. For this, you should write
3C1*13C3, which would be
Is that right? I'm actually on vacation, and left my calculator home!! Hmmm!!!
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
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