Question

Number of numbers from 1 to 2014 having atleast one digit 4 is

• A. 542
• B. 543
• C. 544
• D. 545

Answer 1

Answer: (C)

Single digit number containing no $4=8$
two digit number containing no $4=8\cdot 9=72$
three digit number containing no $4=8\times 9\times 9=648$
four digit number containing no

Starting with 2
$2000|1|2|3|5|6|7|8|9|10|11|12|13$
containing no 4 and less than $2014=13$
Total $=8+72+648+729+13=1470$
$\therefore$ Numbers containing atleast one $4=2014-1470=544$.