Question

The salad bar has 15 different vegetables, 5 different salad dressings, and 6 different types of toppings. How many different combinations of salads can be created with one vegetable, one dressing, and one topping?

Answer 1

15 * 5 * 6

If you're not sure why, wh

Answer 2

This is a partial tree diagram. V1...V15 are the 15 different vegetables,
S1...S5 are the different salad dressings
T1...T6 are the different toppings

So, if you selected vegetable #15, and salad dressing #1, you have 6 different choices of toppings.

you selected vegetable #15, and salad dressing #2, you have 6 different choices of toppings as well (I didn't draw this, but you have these options).

Do the same for each salad dressing (all 5 of them), and you realize you have 5 * 6 choices among salad dressings and toppings.

Do the same analogy by going back one level in the tree to the 15 vegetables... you can have 15 different vegetables for all 5*6 combinations of (dressings + toppings). So, 15 * 5 * 6

Answer 3

thank you very much