A four figure number is formed of the figures 1 ,2,3, 5 with no repetitions. The probability that the number is divisible by 5 is
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a
34
b
14
c
18
d
none of these
answer is B.
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Detailed Solution
The total number of ways in which four-figure numbers can be formed is 4! = 24. A number is divisible by 5 if at unit's place we have 5. Therefore, unit's place can be filled in one way and the remaining 3 places can be filled with the other digits in 3! ways. Hence, total number of numbers divisible by 5 is 3! = 6. So, the required probability is 624=14