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Question 1

Given numbers: 4, 4, 5, 8
Result of expression: 3
Number of possible orderings and choices of operators:

Question 2

Given numbers: 3, 6, 7, 7
Result of expression: 6
Number of possible orderings and choices of operators:

Question 3

Given numbers: 1, 2, 5, 6
Result of expression: 5
Number of possible orderings and choices of operators:

Questions and suggestions to Frank.Luebeck@Math.RWTH-Aachen.De.