Question
All mobile numbers in India are 10 digits.
With 10 digit number, how many mobile subscribers can be supported at any time ??
Answer
In a 10 digit number, each position can be filled by any of 10 digits ( 0 through 9 )
To find the total number, we multiply the number of possibilities for each position.
==>> 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10
==>> 10 ^ 10
==>> 10 billion !!!
The mathematical answer is 10 billion.
But in India, we have prefix restrictions.
Mobile numbers must start with digits 9 8 7 or 6.
To find the total combination,
For the first digit, we have only 4 possibilities. They are 6 7 8 or 9.
For second digit to last digit, 10 possibilities each ( from 0 to 9 )
==>> 4 * 10 ^ 9
==>> 4 billion !!!