Question 30

Mathematics Permutation and Combination Hard

The number of non-negative integers less than 1000 that contain the digit 1 are:

(A) 9<sup>2</sup>
(B) 9<sup>3</sup>
(C) 10<sup>2</sup> - 9<sup>2</sup>
(D) 10<sup>3</sup> - 9<sup>3</sup>
View Dynamic Solution & Explanation
Correct Solution: Option D

Step-by-step Solution:

The numbers containing 1 is calculated as: \[ 10^3 - 9^3 \] \[ = 1000 - 729 = 271 \]