There are 7 things in a hat how many ways can you pick 3 things from the hat at once?

If you are drawing three things out at once, there are 35 combinations.

You solve this with a tree diagram. Consider the items as A,B,C,D,E,F.There are 15 combinations that have A, 10 that have B (not counting the ones with A), 6 with C (but not A or B), 3 with D (but not A,B, or C) and one EFG (without A,B,C or D).