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A sock drawer contains seven socks, each one a different solid color.
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14 Oct 2021, 09:32
14 Oct 2021, 09:32
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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. If a person reaches into the drawer and pulls out two socks, how many different color combinations are possible in the selected pair of socks?
A. 12
B. 15
C. 21
D. 36
E. 42
A. 12
B. 15
C. 21
D. 36
E. 42
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Re: A sock drawer contains seven socks, each one a different solid color.
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14 Oct 2021, 10:11
14 Oct 2021, 10:11
1
Carcass 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. If a person reaches into the drawer and pulls out two socks, how many different color combinations are possible in the selected pair of socks?
A. 12
B. 15
C. 21
D. 36
E. 42
A. 12
B. 15
C. 21
D. 36
E. 42
Since the order in which we select the socks does not matter (e.g., selecting a red sock and then a blue sock is the same outcome as selecting a blue sock and then a red sock), we can use combinations.
We can select 2 socks from 7 socks in 7C2 ways.
7C2 = 21
Answer: C
Here's a video on calculating combinations (like 7C2) in your head:
gmatclubot
Re: A sock drawer contains seven socks, each one a different solid color. [#permalink]
14 Oct 2021, 10:11
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