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27 Dec 2016, 09:07
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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81% (00:52) correct
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How many different ways can two basketball teams be formed from 7 friends?
(1) Any combination of players is allowable except those with one or two members.
(2) All teams must have at least 3 players.
(1) Any combination of players is allowable except those with one or two members.
(2) All teams must have at least 3 players.
27 Dec 2016, 10:34
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Bunuel
I’ll start from the second one.
(2) All teams must have at least 3 players
The only way we can actually divide 7 players into groups with at least 3 players is when one group will consist of 3 players and another one from 4. We can’t make team from one left player so he/she should be added to one of the 3-player teams.
\(\frac{7!}{4!3!}\) Sufficient.
(1) Any combination of players is allowable except those with one or two members.
This is another way to say that team should consist of at least 3 players. Sufficient.
Answer D
27 Dec 2016, 23:33
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Ans D.
Each of the conditions is asking for ways in which two teams can be formed from 7 friends with a constraint that each team should have at least 3 members.
Hence, both condition 1 and 2 are individually sufficient.
Each of the conditions is asking for ways in which two teams can be formed from 7 friends with a constraint that each team should have at least 3 members.
Hence, both condition 1 and 2 are individually sufficient.
