Question

The number of different five digits numbers that can be formed from the digits $2,4,9,3,5$ (without repetation) which are not divisible by $5$ are

• A. $256$
• B. $120$
• C. $24$
• D. $96$

Answer 1

The correct option is D $96$

Total number of numbers that can be formed using the given digits =$5!=120$
Any number ending with $5\text{or}0$ is divisible by $5$.
So, total numbers which can be formed ending with five is
=$4!=24$
so, Required number = $120-24=96$