Question

Number of $4$-digit positive integers with four different digits, where the leading digit is not zero, and the integer is a multiple of $5$ and $5$ is the largest digit, is

• A. $24$
• B. $48$
• C. $60$
• D. $108$

Answer 1

The correct option is D $108$

we can take only 0,1,2,3,4,5 integers

The no. should be divisible by 5

Let us take 0 as last digit

$\Rightarrow 5\times 4\times 3=$

Now take 5 as last digit

$\Rightarrow 4\times 4\times 3$

Answer=108