Question

How many numbers between $50000$ and $60000$ can be formed using the digits $2$ to $7$ when any digit can occur any number of times?

• A. $1296$
• B. $625$
• C. $7776$
• D. $2520$

Answer 1

The correct option is A $1296$

We need to find numbers that lie between $50,000$ $\xi$ $60000$ containing only numbers from $2$ to $7.$

The ten thousand's place is fixed and equal to $5.$ The other $4$ digits can be any of the six numbers $(2$ to $7)$

$\Rightarrow$ Total numbers $=1\times 6\times 6\times 6\times 6$

$=1296$

Hence, the answer is $1296.$