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The number of different subsets of 4 elements
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Updated on: 07 Dec 2020, 10:30
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The number of different subsets of 4 elements that can be selected from a set of 6 elements is 15. How many different subsets of 3 elements can be selected from a set of 7 elements?
Re: The number of different subsets of 4 elements
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07 Dec 2020, 10:33
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Sarastudyhard wrote:
The number of different subsets of 4 elements that can be selected from a set of 6 elements is 15. How many different subsets of 3 elements can be selected from a set of 7 elements?
A. 55 B. 42 C. 35 D. 21
Since the order in which we select each element does not matter, we can use combinations
We can select 3 elements from 7 elements in 7C3 ways
7C3 = (7)(6)(5)/(3)(2)(1) = 35
Answer: C
The video below features a quick way to mentally calculate combinations such as 7C3.
Re: The number of different subsets of 4 elements
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08 Jul 2022, 03:29
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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