## Discussion Forum

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 |