Question

The number of 5-digit even numbers that can be made with the digits 0,1,2 and 3 is

• A. 384
• B. 192
• C. 768
• D. none of these

Answer 1

The correct option is A 384

Here even number must end with $0$ or $2$

Since $5$ digit number is to be formed with $0,1,2,3$ hence it is obvious that repetition is allowed.

$⟨a|b|c|d|e⟩$
here "$a$" has $3$ options $1,2,3$ ,$b,c,d$ has $4$ options

$0,1,2,3$ and "$e$" has $2$ options $0$ and $2$
Number of $5$ digit numbers = $3\times 4\times 4\times 4\times 2=384$
Hence, option 'A' is correct.