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Question 1

Given numbers: 1, 3, 4, 8
Result of expression: 22
Number of possible orderings and choices of operators:

Question 2

Given numbers: 2, 4, 6, 7
Result of expression: 8
Number of possible orderings and choices of operators:

Question 3

Given numbers: 2, 3, 6, 8
Result of expression: 7
Number of possible orderings and choices of operators:

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