Algebra Please help
posted by Linda .
A pack of Jellybeans contains 7 different flavors: Apricot, Banana, Coconut, Date, Eggplant, Fig, and Grape. You can Eat each flavor individually or come up with some crazy combinations. How many flavor combinations are possible with these 7 flavors alone or mixed? You can use only use one flavor per combination. Example, no ABBC, but ABDEF is good.

7+7*6+ 7*6*5 + 7*6*5*4+7*6*5*4*3+ 7*6*5*4*3*2+ 7*6*5*4*3*2*1
you can eat in combinations of 1,2, ...6,7 
So how many many flavor combinations

do the math. Add them up.