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Que. Consider the set of all functions f: {0,1, … ,2014} → {0,1, … ,2014} such that f(f(i)) = i, for all 0 ≤ i ≤ 2014. Consider the following statements:

P. For each such function it must be the case that
for every i, f(i) = i.
Q. For each such function it must be the case that
for some i, f(i) = i.
R. Each such function must be onto.

Which one of the following is CORRECT?
a. P, Q and R are true
b. Only Q and R are true
c. Only P and Q are true
d. Only R is true
Answer:Only Q and R are true
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