Problem Statement 
 You have a number of tasty ingredients and you want to know how many different banana split desserts you could make using those ingredients. In order for something to count as a banana split, it must have at least one "banana", at least one "ice cream", and at least one other ingredient (i.e., at least one ingredient that is not a "banana" or an "ice cream"). Ingredients with the same name are not distinguishable, and it doesn't matter what order the items are added to the dessert. For example, suppose you had the following 5 ingredients:
 "ice cream","banana","chocolate","chocolate","peanuts"
You could make a total of 5 different banana splits, as shown below:
 "ice cream","banana","chocolate","chocolate","peanuts"
 "ice cream","banana","chocolate","peanuts"
 "ice cream","banana","chocolate","chocolate"
 "ice cream","banana","chocolate"
 "ice cream","banana","peanuts"
Note that if you would have had 2 bananas, you would have had 10 possibilities  as adding a banana to each combination above makes a new dessert. Return the number of distinct banana splits you could create using the items given in ingredients. 

Definition 
 Class:  DessertMaker  Method:  countBananaSplits  Parameters:  String[]  Returns:  int  Method signature:  int countBananaSplits(String[] ingredients)  (be sure your method is public) 




Constraints 
  ingredients will contain between 1 and 30 elements, inclusive. 
  Each element of ingredients will contain between 1 and 50 characters, inclusive. 
  Each element of ingredients will contain only lowercase letters and spaces ('a''z',' '). 

Examples 
0)  
 {"ice cream","banana","chocolate","chocolate","peanuts"} 
 Returns: 5  The example from the problem statement. 


1)  
 {"banana", "banana", "chocolate", "strawberries",
"pineapple", "pineapple", "rice cream"} 
 Returns: 0  To make a banana split, you need "ice cream", "banana", and at least one other ingredient. We have a "banana" and plenty of other ingredients, but we don't have an "ice cream" so we have zero possibilities. 


2)  
 {"ice cream", "ice cream", "banana", "banana", "chocolate",
"chocolate"} 
 Returns: 8  To see the 8 possibilities, note that you can pick either one or two "ice cream"s, one or two "banana"s and one or two "chocolate"s (and 2*2*2=8). You cannot have no ice cream or no bananas  and we need to have at least one other ingredient so we need at least one chocolate. Note that {"ice cream","banana","chocolate"} counts as a different dessert than {"ice cream","ice cream","banana","banana","chocolate","chocolate"} because the ingredient list is not identical. 


3)  
 {"foam", "apple", "whipped cream", "apple", "mushroom",
"apple core", "ice cream", "ice cream", "banana", "giraffe",
"mushroom", "spare tire", "ice cream", "banana", "foam",
"wrench", "paper", "cherry", "alarm clock", "football" ,"apple",
"apple"} 
 Returns: 138234  You don't know if it'll be good until you try it. 

