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Bunuel
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A sock drawer contains seven socks, each one a different solid color. 19 Aug 2016, 03:13
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E
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25% (medium)

Question Stats:

76% (01:17) correct 24% (01:43) wrong based on 208 sessions

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A sock drawer contains seven socks, each one a different solid color. The colors of the socks are red, orange, yellow, green, blue, indigo, and violet. A person reaches into the drawer, pulls out two socks, and puts a single sock on each foot. If each sock can fit either the left or the right foot, and if it matters whether a particular sock is on the left or the right foot, how many different sock fashion combinations could the person make from the seven socks?

A. 12
B. 15
C. 21
D. 36
E. 42
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E
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A sock drawer contains seven socks, each one a different solid color. 19 Aug 2016, 04:25
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Bunuel
A sock drawer contains seven socks, each one a different solid color. The colors of the socks are red, orange, yellow, green, blue, indigo, and violet. A person reaches into the drawer, pulls out two socks, and puts a single sock on each foot. If each sock can fit either the left or the right foot, and if it matters whether a particular sock is on the left or the right foot, how many different sock fashion combinations could the person make from the seven socks?

A. 12
B. 15
C. 21
D. 36
E. 42
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Since given condition that if one sock is on left leg (L) and other colour is on right(R)...and we need to find how many such combinations are possible.

If L has one colour sock and R will have any 6C1 colour sock..

for one combination it is 6 and for seven colour combination it 7*6 = 42.

IMO option E is correct..

OA please..will correct if I missed anything...
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A sock drawer contains seven socks, each one a different solid color. 20 Aug 2016, 22:51
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Answer is correct .....However,there is another way to find out answer .....

It's a question of permutation since order matters here ....

It can be deduced to-

7P2 = 7!/5! = 7*6 = 42 .........Answer is - E
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A sock drawer contains seven socks, each one a different solid color. 17 Nov 2016, 19:50
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There are 7 different colors to choose 2 from: 7C2 = 21 combinations

Then we are told that a person can wear a sock on left foot or right foot -> 21 x 2 = 42 combinations
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A sock drawer contains seven socks, each one a different solid color. 29 Nov 2016, 16:39
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Bunuel
A sock drawer contains seven socks, each one a different solid color. The colors of the socks are red, orange, yellow, green, blue, indigo, and violet. A person reaches into the drawer, pulls out two socks, and puts a single sock on each foot. If each sock can fit either the left or the right foot, and if it matters whether a particular sock is on the left or the right foot, how many different sock fashion combinations could the person make from the seven socks?

A. 12
B. 15
C. 21
D. 36
E. 42
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We need to determine in how many ways two socks can be selected from a total of 7. Furthermore we are told that it matters whether a particular sock is on the left or the right foot. Thus, we can determine our answer using permutations, since permutations are used to arrange items when order matters:

7P2 = 7 x 6 = 42

Answer: E
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A sock drawer contains seven socks, each one a different solid color. 26 Dec 2025, 06:53
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