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A team of 4 players is to be selected from the group of 7 players
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03 Feb 2024, 15:12
03 Feb 2024, 15:12
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Question Stats:
50% (01:51) correct
50% (01:22) wrong based on 6 sessions
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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.
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.
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.
Re: A team of 4 players is to be selected from the group of 7 players
[#permalink]
04 Feb 2024, 01:26
04 Feb 2024, 01:26
1
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
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
gmatclubot
Re: A team of 4 players is to be selected from the group of 7 players [#permalink]
04 Feb 2024, 01:26
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