Five digit numbers are formed by using digits
and 5 without repetition. Then, the probability that the randomly chosen number is divisible by 4 is
Text Solution
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Total number of 5 digits numbers by using
, 5 without repetition
!
Now, For making numbers divisible by 4 , the last 2 digit number must be divisible by 4 . This is possible in following cases:
ending with 12 : Rest 3 place can be filled by 3 ! ways
ending with 24: Rest 3 place in 3! ways
numbers
ending with
places in 3 ! ways
numbers
ending with 54: 3 places in 3 ! ways
numbers
Total number of numbers divisible by 4
Required probability 
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