Problem A: An ice cream parlor has 28 different flavors, 8
different kinds of sauce and 12 toppings.
(a). How many different ways can a dish with 3 scoops of ice
cream be made, if each flavor can be used more than once, and the
order of the scoops does not matter?
(b). How many different kinds of small sundaes are there is a
small sundae contains one scoop a sauce and a topping?
(c). How many different large sundaes are there if a large
sundae contains 3 scoops (flavors can be used more than once, the
order of the scoops does not matter) two different kinds of sauce,
the order of the sauce does not matter, and three different
toppings and the order of the toppings does not matter?