Each of the petit fours (tiny bite-sized layered cakes) at Pauline’s Pastries are made with three layers of filling. The pastry chef made one petit four for each possible choice of three different fillings of the eight that were available. The assistant iced them all with chocolate icing before marking which petit four contained which fillings. Since they are eaten in one bite, the order of the fillings does not matter.  

1. How many petit fours did the chef make?

   Hint (a):

   Refer to the Math Notes box.

   Answer (a):

   $_8C_3=56$

2. How many have raspberry, custard, and one other filling?

   Hint (b):

   How many other filling choices are left?

3. What is the probability (in percent) of getting a petit four that has apricot filling?

   Hint (c):

   $\frac{\# \text{ of apricot-filled petit fours}}{\text{total # } \text{of petit fours}}$

   More Help (c):

   $\frac{_7C_2}{56}$