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The number of ways to choose 3 cards with replacement from a
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Updated on: 02 May 2019, 23:24
Updated on: 02 May 2019, 23:24
Expert Reply
00:00
Question Stats:
73% (00:33) correct
26% (00:26) wrong based on 38 sessions
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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.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: The number of ways to choose 3 cards with replacement from a
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25 Mar 2019, 06:57
25 Mar 2019, 06:57
2
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
Re: The number of ways to choose 3 cards with replacement from a
[#permalink]
02 May 2019, 23:25
02 May 2019, 23:25
Expert Reply
Fixed the OA
Regards
Regards
