Question

How many numbers greater $40000$ can be formed from the digits $2,4,5,5,7$

• A. $12$
• B. $24$
• C. $36$
• D. $48$

Answer 1

The correct option is D $48$

Numbers greater than $40000$

Formed from the digits $2,4,5,5,7$:

______________

$\downarrow$

$4$ or $5$ or $7$

$4$ ________________

$\frac{4!}{2!}=12$

$5$ ________________

$4!=24$

$7$ ________________

$\frac{4!}{2!}=12$

$\Rightarrow 48$ numbers can be formed with $2,4,5,5,7$ greater than $40,000$.