Question 246260
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 
{{{(3/1)*(13*12*11)/(3*2*1)}}}
{{{13*6*11}}}
{{{858}}}


Is that right?  I'm actually on vacation, and left my calculator home!!  Hmmm!!!


Dr. Robert J. Rapalje, Retired
Seminole State College of Florida