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

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Founder
Joined: 18 Apr 2015
Posts: 7791
Followers: 145

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

The number of ways to choose 3 cards with replacement from a [#permalink]  20 Mar 2019, 23:43
Expert's post
00:00

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
GRE Instructor
Joined: 10 Apr 2015
Posts: 2311
Followers: 72

Kudos [?]: 2200 [2] , given: 27

Re: The number of ways to choose 3 cards with replacement from a [#permalink]  25 Mar 2019, 06:57
2
KUDOS
Expert's post
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)

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com

Founder
Joined: 18 Apr 2015
Posts: 7791
Followers: 145

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

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

Regards
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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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