Inclusion Exclusion

[Sillysidley]

Let U=(1,2,3..,1000) and let A₂,A₃, and A₅ be the numbers that are divisible by 2,3, and 5 respectively. Find:
a. The intersection of all 3 sets (I solved this already)
b. The intersection of A₂,A₃, and the compliment of A₅
c. The intersection of A₂, the compliment ofA₃, and A₅.
d. The intersection of the compliment of A₂,A₃, and A₅
e. The intersection of A₂, the compliment of A₃, and the compliment of A₅