## Sets and Functions

Question 1 |

Let S = {1,2,3,....,m}, m > 3. Let x_{1}, x_{2},....x_{n} be the subsets of S each of size 3. Define a function f from S to the set of natural numbers as, f(i) is the number of sets of X_{j} that contain the element i. That is f(i) = |{j|i ∈ X_{j}|}|.

Then is

3m | |

3n | |

2m+1 | |

2n+1 |

Question 1 Explanation:

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