Question

How many of the integers 1,2,....,2000 are not divisible by any of the numbers 2, 3 or 11?

Answer 1

Let be the set integers of divisible by 2, be the set integers of divisible by 3 and   be the set integers of divisible by 11

and

and

and

and

and

and

and

Number of the integers 1,2,....,2000 are not divisible by any of the numbers 2, 3 or 11 are