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MCQ (Single Correct Answer)
GATE CSE 2014 Set 3
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
