Each of the petit fours (tiny bite-sized layered cakes) at Pauline’s Pastries are made with three different layers of filling. The pastry chef has eight different choices for fillings. These cakes are eaten in one bite, so the order of the fillings does not matter.

1. If the pastry chef makes one of each of the possible petit fours, how many petit fours can 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 (as a 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):

   $\frac{_7C_2}{56}$