how many number 100-200 that are divisible by 2, 3, but not 5

how many integer 100-200 that are divisible by 2, 3, but not 5 |A1| number that divisible by 2= 101/2=50 |A2| number divisible by 3= 101/3=33 |A3|=number divisible by 5 |A1A3| divisible by 2 and 5=101/(2*5)=10 |A2A3| divisible by 3 and 5=101(3*5)=6 |A1A2A3|= divisible by 2 ,3, 5= 101/(2*3*5)= 3 (…)