If five digit numbers are formed from the digits 0,1,2,3 , 4 using every digit exactly only once, then the probability that a randomly chosen number from those numbers is divisible by 4 , is

Step-by-step solution

Total number of five digits number =4 4 3 2.1=96 For number divisible by 4 contain Last two digit 04=3!=6 Last two digit 40=3!=6 Last two digit 20=3!=6 Last two digit 12=2.2!=4 Last two digit 32=2.2!=4 Last two digit 24=2.2!=4 Total number divisible by 4 =6+6+6+4+4+4=30 Required probability = 30 96 = 5 16