Find the truth - Humanity at stake

Read the following statements:

1) eπ\frac { e }{ \pi } is a rational number.
2) πe\frac { \pi }{ e } is an irrational number.
3) π+ee\frac { \pi+e }{ e } is a rational number.

Give your answer as the mean of the serial numbers of the statements which are true.
(\big(E.g., if all statements are true, the answer is 1+2+33=2.)\frac { 1+2+3 }{ 3 } =2.\big)


Details and Assumptions:

  • ee may not necessarily be the exponential constant and π\pi may not necessarily be equal to 3.14159...
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