‘2’ at the unit place from 101 to 799. 102, 112, 122 - - - - - - 792 = 70 times. ‘2’ at tens place from (101 to 799). 120, 121, 122 - - - - - - 729 = 63 times. ‘2’ at the hundred place from (101 to 799). 200, 201, 202 - - - - - - - 229 = 100 times. Out of these, 220 to 229 shall be excluded for 10 times. Out of these 202, 212, 222, 232, 292 shall be excluded for 9 times. Now, ‘2’ at the hundredth place = 100 - 10 - 9 = 81 times. Finally, the number of times 2 occurs between 100 and 800 = 70 + 63 + 81 = 214 times.