Question 871495
There are 333 positive integers divisible by 3 less than 1000.
There are 199 positive integers divisible by 5 less than 1000.
There are 66 positive integers that are divisible by both 3 and 5.
So the number of positive integers less than 1000 divisible by 3 or 5 is 
{{{333+199-66=466}}}