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No - it is not possible.

There are four binary operations (*, /, +, -). A binary operations involves two inputs and one output. So each time you use a binary operation on a set of numbers you reduce the size of the set by one. Therefore, with four numbers, you can only use three binary operations.

Using only three operations, it is trivially simple:

24 + (16 - 16)*13

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Q: Can you get 24 as an answer using 24 16 16 and 13 one time each with multiplication division addition and subtraction?
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