Assignment:
Q1) Use Venn diagrams to determine whether each of the following is true or false:
a. (A union B) intersect C = A union (B intersect C)
b. A intersect (B union C) = (A intersect B) union (A intersect C)
Q2) Calculate the number of integers divisible by 4 between 50 and 500, inclusive.
Q3) Use the permutation formula to calculate the number permutations of the set {a, b, c, d} taken two at a time. Also list these permutations.
Q4) Determine whether each of the following functions is 1-to-1 and whether it is onto. Assume the domain and co-domain is Z, the integers. Explain your answers.
a. f(n) = n / 2, assuming integer division
b. g(n) = 4n + 5
Provide complete and step by step solution for the question and show calculations and use formulas.