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Example 6 from Algebra and Trigonometry, 13.5 Counting Principles
A restaurant offers butter, cheese, chives, and sour cream as toppings for a baked potato. How many different ways are there to order a potato?
Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.
We are looking for the number of subsets of a set with 4 objects. Substitute into the formula.
There are 16 possible ways to order a potato.
The book's Try It right after this example: same idea, new numbers. Only the answer is given.
A sundae bar at a wedding has 6 toppings to choose from. Any number of toppings can be chosen. How many different sundaes are possible?
How did it go?