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A certain password must contain 3 distinct digits followed b
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30 Dec 2017, 14:19
30 Dec 2017, 14:19
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Question Stats:
94% (00:38) correct
5% (01:48) wrong based on 18 sessions
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A certain password must contain 3 distinct digits followed by 2 distinct capital letters. Given ten digits and 26 capital letters, how many different passwords are possible?
Drill 1
Question: 5
Page: 560
Question: 5
Page: 560
Show: :: OA
468000
Re: A certain password must contain 3 distinct digits followed b
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03 Jan 2018, 16:47
03 Jan 2018, 16:47
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Explanation
List the number of possible options for each character in the password. There are 10 possibilities for the first digit, 9 left for the second, and 8 left for the third. There are 26 possibilities for the first letter and 25 for the second. There are 10 × 9 × 8 × 26 × 25 = 468,000 possible passwords.
List the number of possible options for each character in the password. There are 10 possibilities for the first digit, 9 left for the second, and 8 left for the third. There are 26 possibilities for the first letter and 25 for the second. There are 10 × 9 × 8 × 26 × 25 = 468,000 possible passwords.
Re: A certain password must contain 3 distinct digits followed b
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15 Sep 2019, 03:08
15 Sep 2019, 03:08
hi @sandy
small confusion, since three of the numbers chosen and two of the alphabets chosen can also be arranged in different ways giving different passwords,
should't it be
(10x9x8x3!) (26x27x2!) ?
small confusion, since three of the numbers chosen and two of the alphabets chosen can also be arranged in different ways giving different passwords,
should't it be
(10x9x8x3!) (26x27x2!) ?
