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How many ways to choose 3 socks from three different pairs of socks su
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10 Aug 2023, 08:15
10 Aug 2023, 08:15
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How many ways to choose 3 socks from three different pairs of socks such that one pair of socks is selected?
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Post A Detailed Correct Solution For The Above Questions And Get Kudos.
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Re: How many ways to choose 3 socks from three different pairs of socks su
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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.
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Re: How many ways to choose 3 socks from three different pairs of socks su
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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
