How many whole numbers between 100 and 800 contain the digit 2?

Answer 1

102 112 120-129 132 142 152 162 172 182 192

200-299

302,312,320-329 332 342 352 362 372 382 392

402, 412, 420-429, 432, 442, 452, 462, 472, 482, 492

the pattern continues for 500s, 600s, 700s

not counting the 200s, there are 19 in each group of 100.

there are 6 such groups: 100s, 300s, 400s, 500s, 600, 700s

6 x 19 = 114

Now for the 200s, 200 -299 makes 100 more such numbers that contain the digit 2.

So there are 214