How many times does the digit 3 appear in the counts from 1 to 100?

20

The correct answer is Option (2) → 20

Step 1: Count 3 in the tens place

Numbers where the tens digit is 3:

• 30, 31, 32, 33, 34, 35, 36, 37, 38, 39 → 10 numbers

So, the digit 3 appears 10 times in the tens place.

Step 2: Count 3 in the units place

Numbers where the units digit is 3:

• 3, 13, 23, 33, 43, 53, 63, 73, 83, 93 → 10 numbers

So, the digit 3 appears 10 times in the units place.

Step 3: Check for double-counting

• Number 33 has 3 in both tens and units, but we've already counted it in both places. That’s correct because the digit 3 appears twice in 33.

Step 4: Add them together

• Tens place: 10
• Units place: 10

Total = 10 + 10 = 20