a salad bar offers a base of lettuce to which tomatoes , chickpeas, beets, pinto beans, olives and green peppers can be added.

Question

a salad bar offers a base of lettuce to which tomatoes , chickpeas, beets, pinto beans, olives and green peppers can be added. Five salad dressings are available. How many different salads are possible? (assume that such salad contains at least lettuce and at most one salad dressing.)

Answer 1

Since there are 6 toppings which can either be included or not, that means there are 2⁶ possible combinations of 0-6 toppings. Furthermore, there are 5 possible dressings of which we must select one and only one. Therefore, there are 5 * 2⁶ or 320 unique combinations.