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Question 1

Given numbers: 6, 8, 9, 10
Result of expression: 16
Number of possible orderings and choices of operators:

Question 2

Given numbers: 1, 8, 9, 10
Result of expression: 80
Number of possible orderings and choices of operators:

Question 3

Given numbers: 1, 3, 10, 10
Result of expression: 33
Number of possible orderings and choices of operators:

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