Question

The number of five digit numbers that can be formed with $0,1,2,3,5$ which are divisible by $5$ is:

• A. $24$
• B. $42$
• C. $48$
• D. $60$

Answer 1

The correct option is B $42$

Total no. of arrangements with $5$ or $0$ is last digit.
$43212$
So, total no. of arrangements $=4\times 3\times 2\times 2=48$.
Total no. of arrangements with $5$ as last digit and $0$ as first digit, that are to be excluded $=3\times 2\times 1=6$.
$03215$

So, total number of five digit numbers that can be formed, thus
$=48-6$
$=42$