A self-serve Frozen Yogurt shop offers 10 toppings. How many different combinations of toppings are possible, assuming that each customer chooses at least one?

Question

A self-serve Frozen Yogurt shop offers 10 toppings. How many different combinations of toppings are possible, assuming that each customer chooses at least one?

Note: This problem is asking how many

Answer 1

Continuing with Ismael's presentation of the answer, you can recognize this as (1+1)¹⁰ - 1 and so the answer is 1024-1 = 2013.  (Based on Binomial Theorem)

Answer 2

 

10C1 + 10C2 + 10C3 + 10C4 + 10C5 + 10C6 + 10C7 + 10C8 +10C9 + 10C10

 

If you know what 10C1 and 10C2 and so on means and how to calculate each term then you know how to get the solution.