You have a box of chocolates that contains 23 pieces of which:
8 are solid chocolate,
8 are filled with cashews, and
7 are filled with cherries.
All the candies look exactly alike. You select a piece, eat it, select a second piece, eat it, and finally eat one last piece.

(a) Find the probability of selecting a solid chocolate piece followed by two cherry-filled chocolates.  

(b) Find the probability of selecting a solid chocolate piece and two cherry-filled chocolates in any order.