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Answer :
The dealer's claim that there are "more than 1,000 different combinations" of the 10 optional packages available for the new car is justified, as there are actually 1024 possible combinations.
To determine whether the dealer's claim is justified, we need to calculate the total number of possible combinations of packages that can be selected.
Since there are 10 optional packages, there are 2^10 (or 1024) possible combinations of packages. This is because for each package, there are two possible choices: either it is selected or it is not selected.
Therefore, the dealer's claim that there are "more than 1,000 different combinations" is indeed justified. The actual number of possible combinations is 1024, which is greater than 1,000.
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