Question

Total numbers that can be made using the digits $3,4,5,6,7$ and $8$ lying between $3000$ and $4000$, which are divisible by $5$ while repetition digits is not allowed is

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

Answer 1

The correct option is A $12$

$3$ must be at thousand’s place and since the number should be divisible by $5$, $\therefore$ $5$ must be at unit’s place.

Now, we have to fill two places , ten's and hundred's place which is equal to ${}^4{P}_2=12$ ways