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A team of 4 players is to be selected from the group of 7 players

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A team of 4 players is to be selected from the group of 7 players [#permalink] New post   03 Feb 2024, 15:12
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A team of 4 players is to be selected from the group of 7 players Alice, Bob, Cameron, Denise, Evan, Francis, and Greg.


Quantity A
Quantity B
The number of different possible teams of 4 players that can be selected such that Denise, Evan, and Alice do not all play on the same team together
30



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.
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A
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Re: A team of 4 players is to be selected from the group of 7 players [#permalink] New post   04 Feb 2024, 01:26
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The answer is A.

Total number of possible teams = 7C4 = 7!/(4!*3!) = 7*6*5/3! = 7*5 = 35
Teams with Denise, Evan, and Alice together = Choose DEA + 4C1 = 4C1 = 4

--> Teams where D, E and A do not all play together = 35 - 4 = 31
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Re: A team of 4 players is to be selected from the group of 7 players [#permalink] New post   07 Apr 2025, 23:45
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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Re: A team of 4 players is to be selected from the group of 7 players [#permalink]
07 Apr 2025, 23:45
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