# Random Operations

**Discrete Mathematics**Level 3

\[\Huge{\color{black}{\boxed{1}}} \ \Huge{\color{red}{\square}} \ \Huge{\color{black}{\boxed{5}}} \ \Huge{\color{red}{\square}} \ \Huge{\color{black}{\boxed{2}}} \ \Huge{\color{red}{\square}} \ \Huge{\color{black}{\boxed{3}}} \ \Huge{\color{red}{\square}} \ \Huge{\color{black}{\boxed{4}}} \ \]

The four red boxes will be filled in with the operators \(+,\) \(-,\) \(\times,\) and \(\div\), randomly and without repetition.

However, **you can rearrange the numbers** \(1,2,3,4,5\) in the black boxes in any order that you want. Which of these orderings gives the maximum expected value for the expression?

**Your answer seems reasonable.**Find out if you're right!

**That seems reasonable.**Find out if you're right!

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