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A computer system uses alphanumeric case sensitive characters for its

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A computer system uses alphanumeric case sensitive characters for its  [#permalink]

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New post 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)

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Re: A computer system uses alphanumeric case sensitive characters for its  [#permalink]

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New post 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
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Re: A computer system uses alphanumeric case sensitive characters for its  [#permalink]

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New post 14 Dec 2019, 09:30
Bunuel wrote:
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)


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)
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Re: A computer system uses alphanumeric case sensitive characters for its  [#permalink]

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New post 15 Dec 2019, 04:59
Bunuel wrote:
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)


Has case sensitiveness any role to play in this question. Per this each option character has two choice higher case or lower case. Please help me out.
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Re: A computer system uses alphanumeric case sensitive characters for its  [#permalink]

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New post 15 Dec 2019, 12:04
arvind910619 wrote:
Bunuel wrote:
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)


Has case sensitiveness any role to play in this question. Per this each option character has two choice higher case or lower case. Please help me out.


26 letters uppercase
26 letters lowercase
10 digits (0,1,2,3,4,5,6,7,8,9)
total=52+10=62
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Re: A computer system uses alphanumeric case sensitive characters for its   [#permalink] 15 Dec 2019, 12:04
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