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

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The number of ways to choose 3 cards with replacement from a [#permalink] New post 20 Mar 2019, 23:43
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Question Stats:

63% (00:36) correct 36% (00:29) wrong based on 11 sessions
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.
[Reveal] Spoiler: OA

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Last edited by Carcass on 02 May 2019, 23:24, edited 1 time in total.
Fixed OA
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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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Joined: 18 Apr 2015
Posts: 7791
Followers: 145

Kudos [?]: 1597 [0], given: 7061

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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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