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A={2, 4, 6, 8, 10} is given. What is the number of subsets of A contai

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MathRevolution
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A={2, 4, 6, 8, 10} is given. What is the number of subsets of A contai [#permalink] New post   30 Aug 2019, 19:46
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[GMAT math practice question]

A={2, 4, 6, 8, 10} is given. What is the number of subsets of A containing 3 elements?

A. 5
B. 10
C. 12
D. 24
E. 32
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B
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Re: A={2, 4, 6, 8, 10} is given. What is the number of subsets of A contai [#permalink] New post   30 Aug 2019, 20:05
5C3=5!/3!*2!=120/12=10
Option B

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Re: A={2, 4, 6, 8, 10} is given. What is the number of subsets of A contai [#permalink] New post   30 Aug 2019, 20:11
Given: A={2, 4, 6, 8, 10}

Asked: What is the number of subsets of A containing 3 elements?

Number of subsets = 5C3 = 10

IMO B

MathRevolution wrote:
[GMAT math practice question]

A={2, 4, 6, 8, 10} is given. What is the number of subsets of A containing 3 elements?

A. 5
B. 10
C. 12
D. 24
E. 32
[/quote]

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Re: A={2, 4, 6, 8, 10} is given. What is the number of subsets of A contai [#permalink] New post   01 Sep 2019, 22:58
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=>

The number of subsets is equal to the number of ways ways to choose \(3\) elements out of \(5\) elements, which is \(5C3 = \frac{(5*4*3)}{(1*2*3)} = 10.\)

Therefore, B is the answer.
Answer: B
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Re: A={2, 4, 6, 8, 10} is given. What is the number of subsets of A contai [#permalink] New post   07 May 2022, 09:47
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Re: A={2, 4, 6, 8, 10} is given. What is the number of subsets of A contai [#permalink]
07 May 2022, 09:47
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