Reference no: EM13960617

1) 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)

2) Calculate the number of integers divisible by 4 between 50 and 500, inclusive.

3) 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.

4) 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.