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The number of four-digit numbers
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05 Jan 2022, 06:12
05 Jan 2022, 06:12
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Question Stats:
61% (00:53) correct
38% (00:56) wrong based on 13 sessions
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Quantity A |
Quantity B |
The number of four-digit numbers with distinct digits |
The number of three digit numbers |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
See more on Numbers Comprehension
Re: The number of four-digit numbers
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10 Jan 2022, 03:34
10 Jan 2022, 03:34
1
The number of four-digit numbers with "distinct" digits -
Since 0 can't be used at thousand's place (that would make it a 3 digit number), we have 9 digits available for it (1 to 9). For hundred's place, 9 digits are available because 0 is now allowed. For ten's and units place 8 and 7 digits are available respectively. So value A is 9*9*8*7 = 4536.
The number of three digit numbers -
Three-digit numbers go from 100 to 999 so value B is 999-100+1 = 900.
Clearly, A is greater than B.
Since 0 can't be used at thousand's place (that would make it a 3 digit number), we have 9 digits available for it (1 to 9). For hundred's place, 9 digits are available because 0 is now allowed. For ten's and units place 8 and 7 digits are available respectively. So value A is 9*9*8*7 = 4536.
The number of three digit numbers -
Three-digit numbers go from 100 to 999 so value B is 999-100+1 = 900.
Clearly, A is greater than B.
gmatclubot
Re: The number of four-digit numbers [#permalink]
10 Jan 2022, 03:34
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