Question

Number of numbers from 1 to 2010 having at least one digit 4 is

Answer 1

Answer:

The no of times the number in range 1 to 2010  having digit 4 at least one times is 603

Step-by-step explanation

Given the starting no is 1 and ending no is 2010.

Now in ending number there total four digit. First digit can be never be more than 2 as per requirement hence probability of digit 4 at this place is 0.

Probability of 2nd, 3rd and 4th digit to be 4 at any point of time is 1/10 each.

hence the no of times the number in range 1 to 2010  having digit 4 at least one times is given by below:

$=2010(0+\frac{1}{10} +\frac{1}{10}+\frac{1}{10})\\=2010(\frac{3}{10} )\\=603$