Question

Shannon goes to the vegetable stand to buy 6 vegetables. The vegetable stand only has 4 different vegetables and Shannon needs to get at least one of each vegetable. How many combinations of vegetables can she get making sure she got at least 1 of each vegetable and there must be 6?

Answer 1

4 x 3 x 2 x 1 x 4 x 4 = 384
since she has to choose from 4 types of veggies, then 3 types of veg, then 2, then 1. But her last 2 choices can be any of the 4 types. So we multiply 4, 3, 2, 1, 4 and 4