Question

The number of numbers between $3000$ and $4000$ which are divisible by $5$, formed by using the digits $3$, $4$, $5$, $6,7,8$ is

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

Answer 1

The correct option is A $12$

Number should be between 3000 and 4000, that means first digit should be 3. The number should be divisible by 5 i.e the last digit should be 5.

So now for a four digit number to be formed 2 more digits should be selected from remaining four, which can be done in ${}^4{P}_2$ ways $=12$