Question

Number of $5$ digits numbers using $0,1,2,3,4$ divisible by $4$ with repetition is

• A. $800$
• B. $600$
• C. $400$
• D. $200$

Answer 1

The correct option is A $800$

we have,

Divisibility Rule for $\ne 3$

$12345$

$\underset{–}{5}\underset{–}{4}\underset{–}{3}\underset{–}{2}\underset{–}{1}$

$=5\times 4\times 3\times 2\times 1$

$=120---\left(i\right)$

$0,1,2,4,5$

$\underset{–}{4}\underset{–}{4}\underset{–}{3}\underset{–}{2}\underset{–}{1}$

$=4\times 4\times 3\times 2\times 1$

$=96---\left(ii\right)$

eqn (i)+(ii)

$=216$

Hence this is the answer