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The number of ways to choose 3 cards with replacement from a

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Carcass
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The number of ways to choose 3 cards with replacement from a [#permalink] New post   Updated on: 02 May 2019, 23:24
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Quantity A
Quantity B
The number of ways to choose 3 cards with replacement from a standard 52-card deck
The number of ways to choose 3 cards without replacement from a standard 52-card deck


Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
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Official Answer
A

Originally posted by Carcass on 20 Mar 2019, 23:43.
Last edited by Carcass on 02 May 2019, 23:24, edited 1 time in total.
Fixed OA
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GreenlightTestPrep
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Re: The number of ways to choose 3 cards with replacement from a [#permalink] New post   25 Mar 2019, 06:57
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Carcass wrote:
Quantity A
Quantity B
The number of ways to choose 3 cards with replacement from a standard 52-card deck
The number of ways to choose 3 cards without replacement from a standard 52-card deck


Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.


QUANTITY A: The number of ways to choose 3 cards WITH replacement from a standard 52-card deck
There are 52 ways to choose the 1st card
There are 52 ways to choose the 2nd card
There are 52 ways to choose the 3rd card
So, total number of outcomes = (52)(52)(52)

QUANTITY B: The number of ways to choose 3 cards WITHOUT replacement from a standard 52-card deck
There are 52 ways to choose the 1st card
There are 51 ways to choose the 2nd card [since 1 card has been removed]
There are 50 ways to choose the 3rd card [since 2 cards have been removed]
So, total number of outcomes = (52)(51)(50)

We get:
QUANTITY A: (52)(52)(52)
QUANTITY B: (52)(51)(50)

Answer: A

Cheers,
Brent
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Carcass
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Re: The number of ways to choose 3 cards with replacement from a [#permalink] New post   02 May 2019, 23:25
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Fixed the OA

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Re: The number of ways to choose 3 cards with replacement from a [#permalink]
02 May 2019, 23:25
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