Math Is Fun Forum

At least I think it's a combinatorial math question. 

I'm trying to figure out how many possible unique hamburgers I could make given the following options.

4 bun types - English muffin, Reg Hamburger bun, Honey Wheat, no bun
4 meat types - beef, turkey, veggie, chicken
(three weights - 1/3, 2/3, 1 lb)
10 Cheese types
28 Toppings (4 at a time)
18 Sauces

Let's say any one of the unique hamburgers could have mulitple cheeses and sauces but only one bun type and one meat/weight, i.e. No multi meat burgers w/ different meats, no top/bottom bun different, etc.

Does someone have a quick program to knock this out?

Thanks a million.