GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
How many ways to choose 3 socks from three different pairs of socks su
[#permalink]
10 Aug 2023, 08:15
10 Aug 2023, 08:15
Expert Reply
1
Bookmarks
00:00
Question Stats:
50% (00:45) correct
50% (01:31) wrong based on 6 sessions
Hide Show timer Statistics
How many ways to choose 3 socks from three different pairs of socks such that one pair of socks is selected?
Post A Detailed Correct Solution For The Above Questions And Get Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE Math Essentials - A most comprehensive handout!!
\(\Longrightarrow\) ALL the GRE Quant and Verbal Practice Directories in ONE place (2023)
\(\Longrightarrow\) Best GRE Test Books of 2023
Show: ::
12
Post A Detailed Correct Solution For The Above Questions And Get Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE Math Essentials - A most comprehensive handout!!
\(\Longrightarrow\) ALL the GRE Quant and Verbal Practice Directories in ONE place (2023)
\(\Longrightarrow\) Best GRE Test Books of 2023
Re: How many ways to choose 3 socks from three different pairs of socks su
[#permalink]
03 Oct 2023, 11:28
03 Oct 2023, 11:28
1
[quote="Carcass"]How many ways to choose 3 socks from three different pairs of socks such that one pair of socks is selected?
Okay. This is a tricky problem. But here's a way:
There are 3C1 ways of choosing 1 out of 3 pairs.
For the 3rd sock, there are 4 ways (of the remaining 2 pairs).
So, total ways = 3C1 * 4 = 3 * 4 = 12.
Show: ::
12
Okay. This is a tricky problem. But here's a way:
There are 3C1 ways of choosing 1 out of 3 pairs.
For the 3rd sock, there are 4 ways (of the remaining 2 pairs).
So, total ways = 3C1 * 4 = 3 * 4 = 12.
Intern
Joined: 11 Sep 2023
Posts: 43
Given Kudos: 5
GRE 1: Q155 V141
Re: How many ways to choose 3 socks from three different pairs of socks su
[#permalink]
08 Oct 2023, 23:01
08 Oct 2023, 23:01
1
suppose we take 2 socks from first pair, then the remaining 1 sock will be taken from other 2 pairs (4 socks).
This can be written as 2C1*4C1 = 4.
No that there are 3 pairs of socks, above scenario will hold true for other 2 pairs as well.
Hence total number of ways = 3*2C1*4C1 = 3*4 = 12
This can be written as 2C1*4C1 = 4.
No that there are 3 pairs of socks, above scenario will hold true for other 2 pairs as well.
Hence total number of ways = 3*2C1*4C1 = 3*4 = 12
