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Country X has a four-digit postal code assigned to each town, such tha
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28 Feb 2023, 10:52
28 Feb 2023, 10:52
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Question Stats:
94% (01:03) correct
5% (01:13) wrong based on 17 sessions
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Country X has a four-digit postal code assigned to each town, such that the first digit is non-zero, and none of the digits is repeated.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The number of possible postal codes in Country X |
4,500 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: Country X has a four-digit postal code assigned to each town, such tha
[#permalink]
25 Mar 2023, 09:46
25 Mar 2023, 09:46
Expert Reply
OE
Use slots to solve this problem. The first slot can be filled by any one of the digits from 1 through 9, because 0 is disallowed. The second digit has no restriction involving 0; however, the digit that was used in the first slot may not be reused. Thus, the second slot also has 9 possibilities. The third and fourth slots may not use previously used digits, so they may be filled with 8 and 7 different digits, respectively. The total number of possible postal codes is therefore:
9 × 9 × 8 × 7 = 4,536
A > B
Use slots to solve this problem. The first slot can be filled by any one of the digits from 1 through 9, because 0 is disallowed. The second digit has no restriction involving 0; however, the digit that was used in the first slot may not be reused. Thus, the second slot also has 9 possibilities. The third and fourth slots may not use previously used digits, so they may be filled with 8 and 7 different digits, respectively. The total number of possible postal codes is therefore:
9 × 9 × 8 × 7 = 4,536
A > B
gmatclubot
Re: Country X has a four-digit postal code assigned to each town, such tha [#permalink]
25 Mar 2023, 09:46
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