Question

How many integers, greater than $999$ but not greater than $4000$, can be formed with the digits $0,1,2,3$ and $4$, if repetition of digits is allowed?

• A. $376$
• B. $375$
• C. $500$
• D. $673$

Answer 1

The correct option is A $376$

Required number are to be greater than $999$ and less than $4000$ (including $4000$)

Total integers/number required $=3\times 5\times 5\times 5=375$

And $4000$ gets included $\Rightarrow 376$