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06 Jun 2016, 05:05
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A computer system uses alphanumeric case sensitive characters for its passwords. When the system was created it required users to create passwords having 4 characters in length. This year, it added the option of creating passwords having 5 characters in length. Which of the following gives the expression for the total number of passwords the new computer system can accept?
Assume there are 62 unique alphanumeric case sensitive characters.
(A) 63^4
(B) 62^5
(C) 62(62^4)
(D) 63(62^4)
(E) 63(62^6)
Assume there are 62 unique alphanumeric case sensitive characters.
(A) 63^4
(B) 62^5
(C) 62(62^4)
(D) 63(62^4)
(E) 63(62^6)
06 Jun 2016, 05:56
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Total number of passwords = number of 4 character password +number of 5 character password
= 62^4 + 62^5 (Since there is no limitation on repetition , each character can be chosen in 62 ways )
=62^4(1+ 62)
=62^4 * 63
Answer D
= 62^4 + 62^5 (Since there is no limitation on repetition , each character can be chosen in 62 ways )
=62^4(1+ 62)
=62^4 * 63
Answer D
14 Dec 2019, 09:30
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Bunuel
A computer system uses alphanumeric case sensitive characters for its passwords. When the system was created it required users to create passwords having 4 characters in length. This year, it added the option of creating passwords having 5 characters in length. Which of the following gives the expression for the total number of passwords the new computer system can accept?
Assume there are 62 unique alphanumeric case sensitive characters.
(A) 63^4
(B) 62^5
(C) 62(62^4)
(D) 63(62^4)
(E) 63(62^6)
Assume there are 62 unique alphanumeric case sensitive characters.
(A) 63^4
(B) 62^5
(C) 62(62^4)
(D) 63(62^4)
(E) 63(62^6)
ADDED THE OPTION OF CREATING KEYS with 5 CHARS
Total: 4CHAR + 5CHAR Keys
Total: 62^4 + 62^5 = 62^4(1+62) = 63(62^4)
Ans (D)
