Question

The number of all three digit numbers having no digits as $5$ is

• A. $252$
• B. $225$
• C. $648$
• D. $noneofthese$

Answer 1

Answer: (C)

$648$

These digit number without digit 5

$\to \mathrm{100....}999$

$\to$ these are 900 three-digit number

$\to$ from 100 to 199 $\to$ 19 number with 5.

$200-299\to 19$

$300-399\to 19$

$400-499\to 19$

$600-699\to 19$

$700-799\to 19$

$800-899\to 19$

$900-999\to 19$

$500-599\to 100$

total number with $5=19\times 8+100$ for (500-599)

$=152+100$

$=252$

$\to$ three digit no. without $5=900-252$

$=648$