Question

How many numbers between 30000 and 40000 can be formed with the digits 2,3,5,6,9 if each digit can be repeated any number of times?

• A. $4^5$
• B. $5^5$
• C. $4^4$
• D. $5^4$

Answer 1

The correct option is D $5^4$

Since the number are $>3000$ and $<40000$

In the first place, only ${}^{\prime }{3}^{\prime }$ can be filled and the remaining $4$ place can be filled by any of the $5$ numbers.

So, the required number is $5^4$