A five digit number is formed by the digits 1 , 2 , 3 , 4 , 5 with no digit being repeated. The probability that the number is divisible by 4 , is

Step-by-step solution

No. of five digit numbers formed using the given digits = 5 ! We know that, A number is divisible by 4 if it's last two digits are divisible by 4 Thus, the numbers should be of the form       1   2 ,         2   4 ,           3   2 ,           5   2 No. of such numbers = 4 × 3 ! Required probability = 4 × 3 ! 5 ! = 1 5