In: Math
Consider the set of numbers {1...200}
Denote by A the set of multiples of 2 in this set.
Denote by B the set of multiples of 5 in this set.
Denote by C the set of multiples of 11 in this set.
How many numbers in {1...200} are divisible by at least one of 2,5 and 11?
How many numbers in {1...200} are relatively prime to 110 ?
(Relatively prime means they do not share any factors.)
How many numbers in {1...200} are divisible by 2 and 11 but not by 5?
How many numbers in {1...200} are divisible by 2 or 11 but not by 5?