Question

What percent of the integers between 100 and 999, inclusive, have all three digits the same?

• A. 1%
• B. 2%
• C. 3%
• D. 4%
• E. 5%

Hint:

Divide favorable cases by total, multiply by 100.

Answer 1

The Correct Option is A

Step 1: Identify range: integers from 100 to 999 inclusive.
Step 2: Total numbers = 999 - 100 + 1 = 900.
Step 3: Numbers with all three digits same: 111, 222, 333, 444, 555, 666, 777, 888, 999 (9 numbers).
Step 4: Percent = \( \frac{9}{900} \times 100 = 1% \).