algebra

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At a local ice cream shop, you can choose from a collection of 18 different toppings. If you want to choose at least one topping, how many different topping combinations are possible (assuming no repeat toppings)?

  • algebra -

    This becomes a question of subsets
    The number of subsets of 18 elements is 2^18 or 262144
    that would include the null set, in this case no toppings
    So the number of different topping combinations would be
    262143

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