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?

Consider the set of all functions f: {0,1, … ,2014} → {0,1, … ,2

1.	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» C. Only P and Q are true

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