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# A website requires a password made up of 2 one-digit numbers followed

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Math Expert
Joined: 02 Sep 2009
Posts: 58381

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27 Feb 2019, 23:12
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Difficulty:

35% (medium)

Question Stats:

66% (01:49) correct 34% (02:14) wrong based on 38 sessions

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A website requires a password made up of 2 one-digit numbers followed by 3 of the 26 letters. How many different passwords are possible if repetition of numbers and letters is allowed?

A. 98
B. 17,576
C. 117,000
D. 1,404,000
E. 1,757,600

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28 Feb 2019, 03:38
Bunuel wrote:
A website requires a password made up of 2 one-digit numbers followed by 3 of the 26 letters. How many different passwords are possible if repetition of numbers and letters is allowed?

A. 98
B. 17,576
C. 117,000
D. 1,404,000
E. 1,757,600

digits 10 and letters 26
10*10*26*26*26

IMO E 1,757,600
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Joined: 01 Feb 2017
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28 Feb 2019, 13:17
10*10*26*26*26

Ans must have 600 as last three digits. Ans E

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Intern
Joined: 28 Jul 2018
Posts: 11

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28 Feb 2019, 13:28
1
A website requires a password made up of 2 one-digit numbers followed by 3 of the 26 letters. How many different passwords are possible if repetition of numbers and letters is allowed?

A. 98
B. 17,576
C. 117,000
D. 1,404,000
E. 1,757,600

Number of ways to choose first digit: 10 (digits from 0 to 9)
Number of ways to choose second digit: 10 (again digits from 0 to 9 since repetition is allowed)
Number of ways to choose the first letter: 26
Number of ways to choose the second letter: 26
Number of ways to choose the third letter: 26

Possible combinations: 10 * 10 * 26 * 26 * 26 = 1757600

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04 Mar 2019, 20:10
Bunuel wrote:
A website requires a password made up of 2 one-digit numbers followed by 3 of the 26 letters. How many different passwords are possible if repetition of numbers and letters is allowed?

A. 98
B. 17,576
C. 117,000
D. 1,404,000
E. 1,757,600

The number of possible passwords is:

10 x 10 x 26 x 26 x 26 = 1,757,600

(Note: if you don’t want to perform all the math, you can see that 10 x 10 x 26 x 26 x 26 will produce two trailing zeros, and of the answer choices, only answer choice E has two trailing zeros.)

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Re: A website requires a password made up of 2 one-digit numbers followed   [#permalink] 04 Mar 2019, 20:10
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