The number of integers from 1 to 1000 which are divisible by 2 or 3 is

Step-by-step solution

The number which is divisible by 2 from 1 to 1000= [ 1000 2 ]=500 The number which is divisible by 3 from 1 to 1000 = [ 1000 3 ]=333 The number which is divisible by 2 and 3 or divisible by 6 from 1 to 1000 is [ 1000 6 ]=166 The number divisible by 2 or 3 =500+333-166=667