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Can someone help me out with this Permutations and Combinations Q
[#permalink]
26 Feb 2023, 02:23
26 Feb 2023, 02:23
I was giving a GRE Mock test and came across this question:
The solution given by the test maker is that:
There are three slots and the order doesn't matter so the number of ways to arrange is: 12 * 11 * 10 => 1320
My logic says that the wording of the question suggests combination and not permutation. So the number of solutions should be => 12C3 => ( 12 * 11 * 10 ) / ( 3 * 2 * 1 ) => 220.
Can someone help me out here please.
Quote:
The program manager for an amateur performance night auditioned 12 acts, but there is only room for 3 acts on the program. How many different ways can the program manager arrange 3 different acts from the original 12?
The solution given by the test maker is that:
There are three slots and the order doesn't matter so the number of ways to arrange is: 12 * 11 * 10 => 1320
My logic says that the wording of the question suggests combination and not permutation. So the number of solutions should be => 12C3 => ( 12 * 11 * 10 ) / ( 3 * 2 * 1 ) => 220.
Can someone help me out here please.
Re: Can someone help me out with this Permutations and Combinations Q
[#permalink]
28 Feb 2023, 00:31
28 Feb 2023, 00:31
Expert Reply
Quote:
The program manager for an amateur performance night auditioned 12 acts, but there is only room for 3 acts on the program. How many different ways can the program manager arrange 3 different acts from the original 12?
From here https://gre.myprepclub.com/forum/gre-pe ... tml#p83002
The question and solution provided are correct.
I hope this helps
regards
gmatclubot
Re: Can someone help me out with this Permutations and Combinations Q [#permalink]
28 Feb 2023, 00:31
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