Question

12. How many 6-digit numbers are there in all ?

​

Answer 1

Question :-

How many 6-digit numbers are there in all ?

Solution :-

As we know,

The smallest 6−digit number is 100000.

The largest 6 digit number is 999999.

The formula to find the nth term is :-

$\huge{\boxed{\green{\leadsto{\sf{ a_{n} = a +( n - 1)d}}}}}$

➠ Where we have :-

First term(a)=100000

Last term= 999999

Common difference (d)=1

Let the total 6-digit number be n

➠Putting the values;

$\leadsto{\sf{999999=100000+(n-1)(1)}}$

$\leadsto{\sf{n-1=999999-100000}}$

$\leadsto{\sf{n-1=899999}}$

$\leadsto{\sf{n=899999+1}}$

$\leadsto{\sf{n=900000}}$

⁂There are 9 lakh 6-digit number in all.