How many 6 digits numbers are there in all

To do:  Find how many 6 digit numbers are there

Solution:

The least six-digit number = $100,000$

The greatest 6-digit number = $999,999$

We can consider it as an arithmetic progression , first term : $a= 100,000$

Last term = $999,999$

Common difference : $d = 1$

Formula for nth term = $a+ (n-1)d$

$999,999 = a+ (n-1)d$ 

$999,999 = 100,000 + (n-1)$

$n = 900,000 $

So, there are  9,00,000 six digit numbers.

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Updated on: 10-Oct-2022

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