So on Monday, he has 10 choices of sandwiches he can buy.
On Tuesday, he has to get a different sandwich than he did on Monday, so he only has 9 sandwiches to choose from (10 choices- 1 from Monday = 9)
On Wednesday, he has to get a different sandwich than he did on either Monday or Tuesday, so he has 8 choices.
To find the total number of combinations, you would multiply together 10, 9 and 8, to get 720.
Hope that helps you understand it!