How many 4-digit even numbers can be formed using the digits (1,3,0,4,7,5)? (Each digit can occur only once)

Options

A. 48
B. 60
C. 108
D. 300

Explanation

(i) If the digit in the units place is an even number, then the number is called even number.
(ii) The units digit of the four digit number must be 0 or 4.

(iii) If units digit is 4, then thousands digit can be filled in 4 ways and other two digits can be filled in `.^(4)P_(2)` ways.
(iv) If units digit is 0, then find the number of ways in which the remaining 3 digits can be filled by using 5 digits.