•   Between 100 and 300, the number of numbers ending with 2 will be

102, 112, ..... 192 (Total 10)

202, 212, ..... 292 (Total 10)

•   Between 100 and 300, the number of numbers beginning with 2 will be

200, 201, 202, ..... 299 (Total 100) of which 10 end with 2 so subtract that.

•   So final answer = 100 - 10 + 10 + 10 = 110.

•   Hence, answer is (a). Remember either begin with or end with 2 means we cannot double count those that both begin with and end with 2.