If you have 100 numbers (1 - 100, including 1 and 100) and you choose 2 of them then do the formula x + y + xy (x being the first number and y being the second) and you replace the 2 numbers chosen with that new number, what are the last possible values for the last number?
example on a smaller scale:
1, 2
1 + 2 + 2 = 5
x + y + xy
The possible values for the last number is 5.
I've gotten around the fact that this is probably a combination problem but I'm lost as to how to start this problem.
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