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The number of ways to choose 2 colors from 5

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The number of ways to choose 2 colors from 5 [#permalink] New post   12 Nov 2020, 10:26
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78% (00:19) correct 21% (00:31) wrong based on 23 sessions

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Quantity A
Quantity B
The number of ways to choose 2 colors from 5
The number of ways to choose 3 colors from 5


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Source: 320 GRE Math Questions
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C
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Re: The number of ways to choose 2 colors from 5 [#permalink] New post   12 Nov 2020, 14:54
The combination formula is nCr, or n!/(n-r)!r!.

So Quantity A = 5!/(5-2)!2! = 5!/(3!)(2!) and Quantity B = 5!/(5-3)!3! = 5!/(2!)(3!). We can see that they are the same, so the answer is C.
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Re: The number of ways to choose 2 colors from 5 [#permalink]
12 Nov 2020, 14:54
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