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Find the number of subsets of the given set.
A truck company makes a pickup truck with 13 upgrade options. How many different versions of this truck can the company produce?
A truck company makes a pickup truck with 13 upgrade options. How many different versions of this truck can the company produce?
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GPT 3.5
The number of different versions of the truck that the company can produce can be found by finding the number of subsets of the set of upgrade options.
Since each upgrade option can either be included or not included in a version of the truck, each upgrade option corresponds to a binary choice - either 0 (not included) or 1 (included).
Therefore, the total number of different versions of the truck is equal to 2^n, where n is the number of upgrade options.
In this case, there are 13 upgrade options, so the company can produce 2^13 = 8,192 different versions of the truck.
Since each upgrade option can either be included or not included in a version of the truck, each upgrade option corresponds to a binary choice - either 0 (not included) or 1 (included).
Therefore, the total number of different versions of the truck is equal to 2^n, where n is the number of upgrade options.
In this case, there are 13 upgrade options, so the company can produce 2^13 = 8,192 different versions of the truck.
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