Question

How many numbers can be made with the digits $3,4,5,6,7,8$ lying between $3000$ and $4000$, which are divisible by $5$ while repetition of any digit is not allowed in any number?

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

Answer 1

The correct option is B $12$

$3$ must be at thousand's place and since the number should be divisible by $5$, or $5$ must be at unit's place. Now, we have to fill two places (tens and hundreds), i.e., ${}^4{P}_2=12$.