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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
A company plans to assign identification numbers to its employees. Eac
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14 Sep 2022, 06:59
14 Sep 2022, 06:59
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Question Stats:
46% (01:09) correct
53% (00:38) wrong based on 13 sessions
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A company plans to assign identification numbers to its employees. Each number is to consist of four different digits from 0 to 9, inclusive, except that the first digit cannot be 0. How many different identification numbers are possible?
(A) 3,024
(B) 4,536
(C) 5,040
(D) 9,000
(E) 10,000
(A) 3,024
(B) 4,536
(C) 5,040
(D) 9,000
(E) 10,000
Re: A company plans to assign identification numbers to its employees. Eac
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18 Sep 2022, 10:36
18 Sep 2022, 10:36
Expert Reply
Notice that we are told that "Each number is to consist of four different digits from 0 to 9, inclusive, except that the first digit cannot be 0".
The first digit can take 9 values from 1 to 9 inclusive;
The second digit can also take 9 values (9 digits minus the one we used for the first digit plus 0);
The third digit can take 8 values;
The fourth digit can take 7 values.
Total = 9*9*8*7 = something with the units digit of 6.
Answer: B.
The first digit can take 9 values from 1 to 9 inclusive;
The second digit can also take 9 values (9 digits minus the one we used for the first digit plus 0);
The third digit can take 8 values;
The fourth digit can take 7 values.
Total = 9*9*8*7 = something with the units digit of 6.
Answer: B.
Re: A company plans to assign identification numbers to its employees. Eac
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16 Aug 2024, 22:00
16 Aug 2024, 22:00
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