Burrito bowls from ten optional toppings

Question

A restaurant offers $10$ different vegetarian toppings, and a bowl may include any selection of them, as long as it has at least one. How many different bowls are possible?

Short answer

$1023$ . Each topping is independently in or out, giving $2^{10}=1024$ subsets; removing the empty bowl leaves $1023$ .

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Lessons behind this question

Counting and Combinatorics

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