How many different ways can you choose 3 frozen yogurt toppings from 20?
This is a combination problem because the order you choose the toppings doesn't matter. Here's how to solve it:
* Formula: The number of combinations of choosing *r* items from a set of *n* items is given by: nCr = n! / (r! * (n-r)!)
* Applying the formula: In this case, we have:
* n = 20 (total number of toppings)
* r = 3 (number of toppings to choose)
So, the calculation is: 20C3 = 20! / (3! * (20-3)!)
* Simplifying: 20C3 = 20! / (3! * 17!) = (20 * 19 * 18) / (3 * 2 * 1) = 1140
Therefore, there are 1140 different ways to choose 3 frozen yogurt toppings from 20.
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