Question

The number of numbers between $3000$ and $4000$ which are divisible by $5$, without repetition using digits $3,4,5,6,7,8$ is

• A. $12$
• B. $24$
• C. $60$
• D. $120$

Answer 1

The correct option is A $12$

The required number is of the form $3--5$
The middle two places can be filled in ${}^4{P}_2$ ways

${}^4{P}_2=\frac{4!}{2!}=12$