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The number of four-digit numbers

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The number of four-digit numbers [#permalink] New post   05 Jan 2022, 06:12
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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.


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Re: The number of four-digit numbers [#permalink] New post   10 Jan 2022, 03:34
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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.
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Re: The number of four-digit numbers [#permalink]
10 Jan 2022, 03:34
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