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A four digit number is formed by the digits 1, 2, 3, 4 with no repetition. The probability that the number is odd is.
  • a)
    zero
  • b)
    1/3
  • c)
    1/4
  • d)
    None of these
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A four digit number is formed by the digits 1, 2, 3, 4 with no repeti...
Total number of numbers = 4! = 24
For odd nos. 1 or 3 has to be at unit’s place
If 1 is at unit place, then total number of numbers = 3! = 6
And if 3 is at units place, then total number of numbers = 3! = 6
Total number of odd numbers = 6 + 6 = 12
Required Probability = 12/24 = 1/2
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Group QuestionAnswer the following question based on the information given belowDarren Puppet, the richest person in the world, has ensured extra security for his files. He implements a security based on division algorithms in his passwords. The passwords contain n digits such that :I. It contains all digits from 1 to n, and all of them are used exactly once.II. The number formed by the first two digits is divisible by 2, the number formed by the first 3 digits is divisible by 3, and so on such that the n digit password is divisible by n. (For example, 123 is such a 3 digit password, 12 is divisible by 2 and 123 by 3).To remember which password he is using, Darren ranks all the passwords having certain number of digits in increasing order and hence by just knowing the number of digits and the rank, he is able to correctly enter the password. (For example, for 3 digits passwords, 123 has rank 1 and 321 has rank 2)It is known that he uses 6 digit passwords for leisure files, which are his most important files.Q. What is/are the possible values of the fourth digit of the password that he uses for leisure files? Correct answer is '6'. Can you explain this answer?

Darren Puppet, the richest person in the world, has ensured extra security for his files. He implements a security based on division algorithms in his passwords. The passwords contain n digits such that :I. It contains all digits from 1 to n, and all of them are used exactly once.II. The number formed by the first two digits is divisible by 2, the number formed by the first 3 digits is divisible by 3, and so on such that the n digit password is divisible by n. (For example, 123 is such a 3 digit password, 12 is divisible by 2 and 123 by 3).To remember which password he is using, Darren ranks all the passwords having certain number of digits in increasing order and hence by just knowing the number of digits and the rank, he is able to correctly enter the password. (For example, for 3 digits passwords, 123 has rank 1 and 321 has rank 2)It is known that he uses 6 digit passwords for leisure files, which are his most important files.Q. How many five digit passwords can he use? Correct answer is '0'. Can you explain this answer?

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A four digit number is formed by the digits 1, 2, 3, 4 with no repetition. The probability that the number is odd is.a)zerob)1/3c)1/4d)None of theseCorrect answer is option 'D'. Can you explain this answer?
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