Number of all four digit numbers having different digits formed of the digits, 1,2,3,4 and 5 and divisible by 4 is `24` b. `30` c. `125` d. `100`

Explanation

In order to make a number divisible by 4, its last two digits must be divisible by 4, which in this case can be `12, 24, 32 or 52.`

Since repetition of digits is not allowed, the remaining first two digits can be arranged in 32 ways in each case.

∴ Total number of numbers that can be formed `= 4**3**2 = 24`

Answer is `24`