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The number of three-digit numbers that are possible using the digits 1
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07 Oct 2021, 09:25
07 Oct 2021, 09:25
Expert Reply
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Question Stats:
95% (00:36) correct
4% (00:42) wrong based on 69 sessions
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Quantity A |
Quantity B |
The number of three-digit numbers that are possible using the digits 1 to 5 if a digit may appear only once in a number |
The number of three-digit numbers that are possible using the digits 1 to 5 if a digit may repeat multiple times in a number |
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.
Re: The number of three-digit numbers that are possible using the digits 1
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07 Oct 2021, 13:20
07 Oct 2021, 13:20
2
Carcass wrote:
Quantity A |
Quantity B |
The number of three-digit numbers that are possible using the digits 1 to 5 if a digit may appear only once in a number |
The number of three-digit numbers that are possible using the digits 1 to 5 if a digit may repeat multiple times in a number |
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.
Lets start with just 2 digit number with digits 1 and 2,
As per A, the choices are 12 and 21
As per B, the choices are 11, 12, 21 and 22.
Extending to 3 digit and digits 1 to 5, B) is greater.
Re: The number of three-digit numbers that are possible using the digits 1
[#permalink]
02 Oct 2022, 19:06
02 Oct 2022, 19:06
2
Digits = {1,2,3,4,5}
Quantity A = No of three digit numbers possible when no digits are repeated - 5 . 4 . 3 = 60
Quantity B = No of three digit numbers possible when repetition is allowed = 5 . 5 . 5 = 125
Clearly, Qt B is greater.
Quantity A = No of three digit numbers possible when no digits are repeated - 5 . 4 . 3 = 60
Quantity B = No of three digit numbers possible when repetition is allowed = 5 . 5 . 5 = 125
Clearly, Qt B is greater.
