five digit numbers are formed by using the digits 1,2,3,4 and 5 without repetition of digits. A number is selected out of them.Find the probability that the number selected is divisible by 4
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24 and 12 is the answer Mark me at brain lest
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A five digit number is formed by the digits 1, 2, 3, 4, 5 without repetition. Find the probability that the number is divisible by 4.
Answer
A number divisible by 4 formed using the digits 1,2,3,4 and 5 should 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 of 5-digit numbers that can be formed using the digits 1,2,3,4 and 5 without repetition =5!=120
Required probability =
120
24
=
5
1
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