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jmc

counting and probability junior

Problem

Mikka wants to order a pizza with two different toppings. He has 8 different toppings to choose from. How many different pizzas could he order?
Solution
There are 8 choices of toppings, and we need to choose 2 distinct toppings. This is represented by the number of 2-element subsets of an 8 -element set. We use the binomial coefficient to compute this.
Final answer
28