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Re: A sock drawer contains seven socks, each one a different solid color.

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Bunuel wrote:
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


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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