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A five-digit number is formed by using digits 1, 2, 3, 4 and 5 without repetition. What is the probability that the number is divisible by 4?
1/5
5/6
4/5
None of these
A number divisible by 4 formed using the digits 1, 2, 3, 4 and 5 has to have the last two digits 12 or 24 or 32 or 52.
In each of these cases, the five digits number can be formed using the remaining 3 digits in 3!=6 ways.
A number divisible by 4 can be formed in 6×4=24 ways.
Total number that can be formed using the digits 1, 2, 3, 4 and 5 without repetition
=5!=120
Required probability = 24/120 =1/5
By: Deepak Dawra ProfileResourcesReport error
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