Consider a set of numbers: 2, 3, 5, 7, 9, 11, 13.

You are allowed to select any three numbers from this set and perform the following operations on them: addition, subtraction, multiplication, and division (with no remainders). However, once you use a number, you cannot use it again.

Using these operations, can you manipulate the selected numbers to reach a final result of 100? If so, what combination of operations and numbers would you use? If not, explain why it is not possible.

Question

Consider a set of numbers: 2, 3, 5, 7, 9, 11, 13.

You are allowed to select any three numbers from this set and perform the following operations on them: addition, subtraction, multiplication, and division (with no remainders). However, once you use a number, you cannot use it again.

Using these operations, can you manipulate the selected numbers to reach a final result of 100? If so, what combination of operations and numbers would you use? If not, explain why it is not possible.