[tex]\begin{gathered} \text{Integers betwe}en\text{ 100 and 1000}\Rightarrow900 \\ At\text{ 100th place is there is no 3,4,5}\Rightarrow(1,2,6,7,8,9)\Rightarrow6\text{ number} \\ At\text{ 10th place is there is no 3,4,5}\Rightarrow(0,1,2,6,7,8,9)\Rightarrow7\text{ number} \\ At\text{ 1th place is there is no 3,4,5}\Rightarrow(0,1,2,6,7,8,9)\Rightarrow7\text{ number} \\ So,\text{ the integers is}\Rightarrow6\times7\times7=294\text{ number} \end{gathered}[/tex]
